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Finding the Fourth Proportional to 31,966.92, 47,957.76 and 9,783.54

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Solution

The fourth proportional to 31,966.92, 47,957.76 and 9,783.54 is: 14,677.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,966.92 : 47,957.76 = 9,783.54 : x
  2. Step 2: Convert to fraction form
    31,966.92/47,957.76 = 9,783.54/x
  3. Step 3: Cross multiply
    31,966.92x = 47,957.76 × 9,783.54
  4. Step 4: Simplify right side
    31,966.92x = 469,196,663.27
  5. Step 5: Solve for x
    x = 469,196,663.27/31,966.92
  6. Step 6: Final answer
    x = 14,677.57

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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.