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Finding the Fourth Proportional to 32,155.64, 48,232.92 and 8,781.98

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Solution

The fourth proportional to 32,155.64, 48,232.92 and 8,781.98 is: 13,172.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,155.64 : 48,232.92 = 8,781.98 : x
  2. Step 2: Convert to fraction form
    32,155.64/48,232.92 = 8,781.98/x
  3. Step 3: Cross multiply
    32,155.64x = 48,232.92 × 8,781.98
  4. Step 4: Simplify right side
    32,155.64x = 423,580,538.78
  5. Step 5: Solve for x
    x = 423,580,538.78/32,155.64
  6. Step 6: Final answer
    x = 13,172.82

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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.