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Finding the Fourth Proportional to 71,130.61, 106,712.54 and 37,843.10

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Solution

The fourth proportional to 71,130.61, 106,712.54 and 37,843.10 is: 56,773.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,130.61 : 106,712.54 = 37,843.10 : x
  2. Step 2: Convert to fraction form
    71,130.61/106,712.54 = 37,843.10/x
  3. Step 3: Cross multiply
    71,130.61x = 106,712.54 × 37,843.10
  4. Step 4: Simplify right side
    71,130.61x = 4,038,333,141.78
  5. Step 5: Solve for x
    x = 4,038,333,141.78/71,130.61
  6. Step 6: Final answer
    x = 56,773.50

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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.