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Finding the Fourth Proportional to 32,381.48, 48,572.30 and 9,007.92

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Solution

The fourth proportional to 32,381.48, 48,572.30 and 9,007.92 is: 13,511.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,381.48 : 48,572.30 = 9,007.92 : x
  2. Step 2: Convert to fraction form
    32,381.48/48,572.30 = 9,007.92/x
  3. Step 3: Cross multiply
    32,381.48x = 48,572.30 × 9,007.92
  4. Step 4: Simplify right side
    32,381.48x = 437,535,392.62
  5. Step 5: Solve for x
    x = 437,535,392.62/32,381.48
  6. Step 6: Final answer
    x = 13,511.90

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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.