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Finding the Fourth Proportional to 32,199.92, 48,294.41 and 8,507.72

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Solution

The fourth proportional to 32,199.92, 48,294.41 and 8,507.72 is: 12,760.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,199.92 : 48,294.41 = 8,507.72 : x
  2. Step 2: Convert to fraction form
    32,199.92/48,294.41 = 8,507.72/x
  3. Step 3: Cross multiply
    32,199.92x = 48,294.41 × 8,507.72
  4. Step 4: Simplify right side
    32,199.92x = 410,875,417.31
  5. Step 5: Solve for x
    x = 410,875,417.31/32,199.92
  6. Step 6: Final answer
    x = 12,760.14

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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.