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Finding the Fourth Proportional to 30,963,997.60, 46,440,466.80 and 19,584,080.80

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Solution

The fourth proportional to 30,963,997.60, 46,440,466.80 and 19,584,080.80 is: 29,372,623.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,963,997.60 : 46,440,466.80 = 19,584,080.80 : x
  2. Step 2: Convert to fraction form
    30,963,997.60/46,440,466.80 = 19,584,080.80/x
  3. Step 3: Cross multiply
    30,963,997.60x = 46,440,466.80 × 19,584,080.80
  4. Step 4: Simplify right side
    30,963,997.60x = 909,493,854,200,917.38
  5. Step 5: Solve for x
    x = 909,493,854,200,917.38/30,963,997.60
  6. Step 6: Final answer
    x = 29,372,623.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.