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Finding the Fourth Proportional to 53,470.14, 80,205.20 and 16,534.14

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Solution

The fourth proportional to 53,470.14, 80,205.20 and 16,534.14 is: 24,801.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,470.14 : 80,205.20 = 16,534.14 : x
  2. Step 2: Convert to fraction form
    53,470.14/80,205.20 = 16,534.14/x
  3. Step 3: Cross multiply
    53,470.14x = 80,205.20 × 16,534.14
  4. Step 4: Simplify right side
    53,470.14x = 1,326,124,005.53
  5. Step 5: Solve for x
    x = 1,326,124,005.53/53,470.14
  6. Step 6: Final answer
    x = 24,801.21

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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.