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Finding the Fourth Proportional to 101,497.47, 152,260.83 and 31,382.25

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Solution

The fourth proportional to 101,497.47, 152,260.83 and 31,382.25 is: 47,077.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,497.47 : 152,260.83 = 31,382.25 : x
  2. Step 2: Convert to fraction form
    101,497.47/152,260.83 = 31,382.25/x
  3. Step 3: Cross multiply
    101,497.47x = 152,260.83 × 31,382.25
  4. Step 4: Simplify right side
    101,497.47x = 4,778,287,432.27
  5. Step 5: Solve for x
    x = 4,778,287,432.27/101,497.47
  6. Step 6: Final answer
    x = 47,077.90

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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.