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Finding the Fourth Proportional to 48,384.66, 72,577 and 15,107.58

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Solution

The fourth proportional to 48,384.66, 72,577 and 15,107.58 is: 22,661.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,384.66 : 72,577 = 15,107.58 : x
  2. Step 2: Convert to fraction form
    48,384.66/72,577 = 15,107.58/x
  3. Step 3: Cross multiply
    48,384.66x = 72,577 × 15,107.58
  4. Step 4: Simplify right side
    48,384.66x = 1,096,462,470.78
  5. Step 5: Solve for x
    x = 1,096,462,470.78/48,384.66
  6. Step 6: Final answer
    x = 22,661.37

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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.