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Finding the Fourth Proportional to 32,814.39, 48,965.52 and 29,280.05

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Solution

The fourth proportional to 32,814.39, 48,965.52 and 29,280.05 is: 43,691.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,814.39 : 48,965.52 = 29,280.05 : x
  2. Step 2: Convert to fraction form
    32,814.39/48,965.52 = 29,280.05/x
  3. Step 3: Cross multiply
    32,814.39x = 48,965.52 × 29,280.05
  4. Step 4: Simplify right side
    32,814.39x = 1,433,712,886.49
  5. Step 5: Solve for x
    x = 1,433,712,886.49/32,814.39
  6. Step 6: Final answer
    x = 43,691.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.