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Finding the Fourth Proportional to 32,543.01, 48,799.53 and 12,265.47

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Solution

The fourth proportional to 32,543.01, 48,799.53 and 12,265.47 is: 18,392.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,543.01 : 48,799.53 = 12,265.47 : x
  2. Step 2: Convert to fraction form
    32,543.01/48,799.53 = 12,265.47/x
  3. Step 3: Cross multiply
    32,543.01x = 48,799.53 × 12,265.47
  4. Step 4: Simplify right side
    32,543.01x = 598,549,171.23
  5. Step 5: Solve for x
    x = 598,549,171.23/32,543.01
  6. Step 6: Final answer
    x = 18,392.56

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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.