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Finding the Fourth Proportional to 82,704, 124,056 and 27,304.32

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Solution

The fourth proportional to 82,704, 124,056 and 27,304.32 is: 40,956.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,704 : 124,056 = 27,304.32 : x
  2. Step 2: Convert to fraction form
    82,704/124,056 = 27,304.32/x
  3. Step 3: Cross multiply
    82,704x = 124,056 × 27,304.32
  4. Step 4: Simplify right side
    82,704x = 3,387,264,721.92
  5. Step 5: Solve for x
    x = 3,387,264,721.92/82,704
  6. Step 6: Final answer
    x = 40,956.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.