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Finding the Fourth Proportional to 48,981.46, 73,471.88 and 13,440

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Solution

The fourth proportional to 48,981.46, 73,471.88 and 13,440 is: 20,159.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,981.46 : 73,471.88 = 13,440 : x
  2. Step 2: Convert to fraction form
    48,981.46/73,471.88 = 13,440/x
  3. Step 3: Cross multiply
    48,981.46x = 73,471.88 × 13,440
  4. Step 4: Simplify right side
    48,981.46x = 987,462,067.20
  5. Step 5: Solve for x
    x = 987,462,067.20/48,981.46
  6. Step 6: Final answer
    x = 20,159.91

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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.