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Finding the Fourth Proportional to 48,315.78, 72,470.43 and 13,252.50

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Solution

The fourth proportional to 48,315.78, 72,470.43 and 13,252.50 is: 19,877.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,315.78 : 72,470.43 = 13,252.50 : x
  2. Step 2: Convert to fraction form
    48,315.78/72,470.43 = 13,252.50/x
  3. Step 3: Cross multiply
    48,315.78x = 72,470.43 × 13,252.50
  4. Step 4: Simplify right side
    48,315.78x = 960,414,373.58
  5. Step 5: Solve for x
    x = 960,414,373.58/48,315.78
  6. Step 6: Final answer
    x = 19,877.86

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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.