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Finding the Fourth Proportional to 32,497.68, 48,753.72 and 10,312.32

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Solution

The fourth proportional to 32,497.68, 48,753.72 and 10,312.32 is: 15,470.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,497.68 : 48,753.72 = 10,312.32 : x
  2. Step 2: Convert to fraction form
    32,497.68/48,753.72 = 10,312.32/x
  3. Step 3: Cross multiply
    32,497.68x = 48,753.72 × 10,312.32
  4. Step 4: Simplify right side
    32,497.68x = 502,763,961.83
  5. Step 5: Solve for x
    x = 502,763,961.83/32,497.68
  6. Step 6: Final answer
    x = 15,470.76

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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.