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Finding the Fourth Proportional to 51,688.34, 71,331.63 and 29,031.32

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Solution

The fourth proportional to 51,688.34, 71,331.63 and 29,031.32 is: 40,064.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,688.34 : 71,331.63 = 29,031.32 : x
  2. Step 2: Convert to fraction form
    51,688.34/71,331.63 = 29,031.32/x
  3. Step 3: Cross multiply
    51,688.34x = 71,331.63 × 29,031.32
  4. Step 4: Simplify right side
    51,688.34x = 2,070,851,376.65
  5. Step 5: Solve for x
    x = 2,070,851,376.65/51,688.34
  6. Step 6: Final answer
    x = 40,064.19

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