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Finding the Fourth Proportional to 31,594.96, 47,386.32 and 18,472.96

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Solution

The fourth proportional to 31,594.96, 47,386.32 and 18,472.96 is: 27,705.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,594.96 : 47,386.32 = 18,472.96 : x
  2. Step 2: Convert to fraction form
    31,594.96/47,386.32 = 18,472.96/x
  3. Step 3: Cross multiply
    31,594.96x = 47,386.32 × 18,472.96
  4. Step 4: Simplify right side
    31,594.96x = 875,365,593.91
  5. Step 5: Solve for x
    x = 875,365,593.91/31,594.96
  6. Step 6: Final answer
    x = 27,705.86

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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.