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Finding the Fourth Proportional to 71,097.49, 106,707.64 and 29,000.78

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Solution

The fourth proportional to 71,097.49, 106,707.64 and 29,000.78 is: 43,526.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,097.49 : 106,707.64 = 29,000.78 : x
  2. Step 2: Convert to fraction form
    71,097.49/106,707.64 = 29,000.78/x
  3. Step 3: Cross multiply
    71,097.49x = 106,707.64 × 29,000.78
  4. Step 4: Simplify right side
    71,097.49x = 3,094,604,791.96
  5. Step 5: Solve for x
    x = 3,094,604,791.96/71,097.49
  6. Step 6: Final answer
    x = 43,526.22

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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.