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Finding the Fourth Proportional to 64,963.30, 97,416.15 and 29,913.70

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Solution

The fourth proportional to 64,963.30, 97,416.15 and 29,913.70 is: 44,857.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,963.30 : 97,416.15 = 29,913.70 : x
  2. Step 2: Convert to fraction form
    64,963.30/97,416.15 = 29,913.70/x
  3. Step 3: Cross multiply
    64,963.30x = 97,416.15 × 29,913.70
  4. Step 4: Simplify right side
    64,963.30x = 2,914,077,486.26
  5. Step 5: Solve for x
    x = 2,914,077,486.26/64,963.30
  6. Step 6: Final answer
    x = 44,857.29

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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.