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Finding the Fourth Proportional to 71,012.94, 97,962.75 and 46,469.22

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Solution

The fourth proportional to 71,012.94, 97,962.75 and 46,469.22 is: 64,104.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,012.94 : 97,962.75 = 46,469.22 : x
  2. Step 2: Convert to fraction form
    71,012.94/97,962.75 = 46,469.22/x
  3. Step 3: Cross multiply
    71,012.94x = 97,962.75 × 46,469.22
  4. Step 4: Simplify right side
    71,012.94x = 4,552,252,581.56
  5. Step 5: Solve for x
    x = 4,552,252,581.56/71,012.94
  6. Step 6: Final answer
    x = 64,104.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.