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Finding the Fourth Proportional to 82,238.47, 113,490.03 and 48,247.56

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Solution

The fourth proportional to 82,238.47, 113,490.03 and 48,247.56 is: 66,582.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,238.47 : 113,490.03 = 48,247.56 : x
  2. Step 2: Convert to fraction form
    82,238.47/113,490.03 = 48,247.56/x
  3. Step 3: Cross multiply
    82,238.47x = 113,490.03 × 48,247.56
  4. Step 4: Simplify right side
    82,238.47x = 5,475,617,031.83
  5. Step 5: Solve for x
    x = 5,475,617,031.83/82,238.47
  6. Step 6: Final answer
    x = 66,582.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.