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Finding the Fourth Proportional to 32,000.76, 48,008.16 and 9,815.81

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Solution

The fourth proportional to 32,000.76, 48,008.16 and 9,815.81 is: 14,725.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,000.76 : 48,008.16 = 9,815.81 : x
  2. Step 2: Convert to fraction form
    32,000.76/48,008.16 = 9,815.81/x
  3. Step 3: Cross multiply
    32,000.76x = 48,008.16 × 9,815.81
  4. Step 4: Simplify right side
    32,000.76x = 471,238,736.97
  5. Step 5: Solve for x
    x = 471,238,736.97/32,000.76
  6. Step 6: Final answer
    x = 14,725.86

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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.