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Finding the Fourth Proportional to 82,032.60, 113,205.52 and 48,061.20

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Solution

The fourth proportional to 82,032.60, 113,205.52 and 48,061.20 is: 66,324.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,032.60 : 113,205.52 = 48,061.20 : x
  2. Step 2: Convert to fraction form
    82,032.60/113,205.52 = 48,061.20/x
  3. Step 3: Cross multiply
    82,032.60x = 113,205.52 × 48,061.20
  4. Step 4: Simplify right side
    82,032.60x = 5,440,793,137.82
  5. Step 5: Solve for x
    x = 5,440,793,137.82/82,032.60
  6. Step 6: Final answer
    x = 66,324.77

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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.