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Finding the Fourth Proportional to 32,400.54, 48,559.50 and 14,612.13

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Solution

The fourth proportional to 32,400.54, 48,559.50 and 14,612.13 is: 21,899.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,400.54 : 48,559.50 = 14,612.13 : x
  2. Step 2: Convert to fraction form
    32,400.54/48,559.50 = 14,612.13/x
  3. Step 3: Cross multiply
    32,400.54x = 48,559.50 × 14,612.13
  4. Step 4: Simplify right side
    32,400.54x = 709,557,726.74
  5. Step 5: Solve for x
    x = 709,557,726.74/32,400.54
  6. Step 6: Final answer
    x = 21,899.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.