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Finding the Fourth Proportional to 32,530.92, 48,812.78 and 12,823.60

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Solution

The fourth proportional to 32,530.92, 48,812.78 and 12,823.60 is: 19,241.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,530.92 : 48,812.78 = 12,823.60 : x
  2. Step 2: Convert to fraction form
    32,530.92/48,812.78 = 12,823.60/x
  3. Step 3: Cross multiply
    32,530.92x = 48,812.78 × 12,823.60
  4. Step 4: Simplify right side
    32,530.92x = 625,955,565.61
  5. Step 5: Solve for x
    x = 625,955,565.61/32,530.92
  6. Step 6: Final answer
    x = 19,241.86

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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.