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Finding the Fourth Proportional to 31,957.92, 47,944.17 and 9,774.45

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Solution

The fourth proportional to 31,957.92, 47,944.17 and 9,774.45 is: 14,663.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,957.92 : 47,944.17 = 9,774.45 : x
  2. Step 2: Convert to fraction form
    31,957.92/47,944.17 = 9,774.45/x
  3. Step 3: Cross multiply
    31,957.92x = 47,944.17 × 9,774.45
  4. Step 4: Simplify right side
    31,957.92x = 468,627,892.46
  5. Step 5: Solve for x
    x = 468,627,892.46/31,957.92
  6. Step 6: Final answer
    x = 14,663.90

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1.5x scale

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.