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Finding the Fourth Proportional to 38,706.88, 57,978.31 and 29,242.64

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Solution

The fourth proportional to 38,706.88, 57,978.31 and 29,242.64 is: 43,802.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,706.88 : 57,978.31 = 29,242.64 : x
  2. Step 2: Convert to fraction form
    38,706.88/57,978.31 = 29,242.64/x
  3. Step 3: Cross multiply
    38,706.88x = 57,978.31 × 29,242.64
  4. Step 4: Simplify right side
    38,706.88x = 1,695,438,847.14
  5. Step 5: Solve for x
    x = 1,695,438,847.14/38,706.88
  6. Step 6: Final answer
    x = 43,802.00

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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.