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Finding the Fourth Proportional to 82,248.24, 113,498.28 and 48,252

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Solution

The fourth proportional to 82,248.24, 113,498.28 and 48,252 is: 66,585.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,248.24 : 113,498.28 = 48,252 : x
  2. Step 2: Convert to fraction form
    82,248.24/113,498.28 = 48,252/x
  3. Step 3: Cross multiply
    82,248.24x = 113,498.28 × 48,252
  4. Step 4: Simplify right side
    82,248.24x = 5,476,519,006.56
  5. Step 5: Solve for x
    x = 5,476,519,006.56/82,248.24
  6. Step 6: Final answer
    x = 66,585.24

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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.