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Finding the Fourth Proportional to 32,000.67, 48,009.11 and 9,815.18

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Solution

The fourth proportional to 32,000.67, 48,009.11 and 9,815.18 is: 14,725.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,000.67 : 48,009.11 = 9,815.18 : x
  2. Step 2: Convert to fraction form
    32,000.67/48,009.11 = 9,815.18/x
  3. Step 3: Cross multiply
    32,000.67x = 48,009.11 × 9,815.18
  4. Step 4: Simplify right side
    32,000.67x = 471,217,767.17
  5. Step 5: Solve for x
    x = 471,217,767.17/32,000.67
  6. Step 6: Final answer
    x = 14,725.25

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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.