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Finding the Fourth Proportional to 106,254.62, 159,411.03 and 31,374.70

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Solution

The fourth proportional to 106,254.62, 159,411.03 and 31,374.70 is: 47,070.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,254.62 : 159,411.03 = 31,374.70 : x
  2. Step 2: Convert to fraction form
    106,254.62/159,411.03 = 31,374.70/x
  3. Step 3: Cross multiply
    106,254.62x = 159,411.03 × 31,374.70
  4. Step 4: Simplify right side
    106,254.62x = 5,001,473,329.52
  5. Step 5: Solve for x
    x = 5,001,473,329.52/106,254.62
  6. Step 6: Final answer
    x = 47,070.64

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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.