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Finding the Fourth Proportional to 82,730.10, 124,095.15 and 32,822.10

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Solution

The fourth proportional to 82,730.10, 124,095.15 and 32,822.10 is: 49,233.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,730.10 : 124,095.15 = 32,822.10 : x
  2. Step 2: Convert to fraction form
    82,730.10/124,095.15 = 32,822.10/x
  3. Step 3: Cross multiply
    82,730.10x = 124,095.15 × 32,822.10
  4. Step 4: Simplify right side
    82,730.10x = 4,073,063,422.82
  5. Step 5: Solve for x
    x = 4,073,063,422.82/82,730.10
  6. Step 6: Final answer
    x = 49,233.15

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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.