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Finding the Fourth Proportional to 83,304, 124,956.16 and 34,056

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Solution

The fourth proportional to 83,304, 124,956.16 and 34,056 is: 51,084.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,304 : 124,956.16 = 34,056 : x
  2. Step 2: Convert to fraction form
    83,304/124,956.16 = 34,056/x
  3. Step 3: Cross multiply
    83,304x = 124,956.16 × 34,056
  4. Step 4: Simplify right side
    83,304x = 4,255,506,984.96
  5. Step 5: Solve for x
    x = 4,255,506,984.96/83,304
  6. Step 6: Final answer
    x = 51,084.07

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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.