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Finding the Fourth Proportional to 82,232.39, 113,468.55 and 48,228.05

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Solution

The fourth proportional to 82,232.39, 113,468.55 and 48,228.05 is: 66,547.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,232.39 : 113,468.55 = 48,228.05 : x
  2. Step 2: Convert to fraction form
    82,232.39/113,468.55 = 48,228.05/x
  3. Step 3: Cross multiply
    82,232.39x = 113,468.55 × 48,228.05
  4. Step 4: Simplify right side
    82,232.39x = 5,472,366,902.83
  5. Step 5: Solve for x
    x = 5,472,366,902.83/82,232.39
  6. Step 6: Final answer
    x = 66,547.58

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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.