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Finding the Fourth Proportional to 71,209.50, 106,837.63 and 29,124.96

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Solution

The fourth proportional to 71,209.50, 106,837.63 and 29,124.96 is: 43,697.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,209.50 : 106,837.63 = 29,124.96 : x
  2. Step 2: Convert to fraction form
    71,209.50/106,837.63 = 29,124.96/x
  3. Step 3: Cross multiply
    71,209.50x = 106,837.63 × 29,124.96
  4. Step 4: Simplify right side
    71,209.50x = 3,111,641,627.43
  5. Step 5: Solve for x
    x = 3,111,641,627.43/71,209.50
  6. Step 6: Final answer
    x = 43,697.00

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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.