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Finding the Fourth Proportional to 71,714.94, 107,572.42 and 19,124.62

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Solution

The fourth proportional to 71,714.94, 107,572.42 and 19,124.62 is: 28,686.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,714.94 : 107,572.42 = 19,124.62 : x
  2. Step 2: Convert to fraction form
    71,714.94/107,572.42 = 19,124.62/x
  3. Step 3: Cross multiply
    71,714.94x = 107,572.42 × 19,124.62
  4. Step 4: Simplify right side
    71,714.94x = 2,057,281,654.98
  5. Step 5: Solve for x
    x = 2,057,281,654.98/71,714.94
  6. Step 6: Final answer
    x = 28,686.93

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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.