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Finding the Fourth Proportional to 75,957.84, 113,956.28 and 54,635.12

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Solution

The fourth proportional to 75,957.84, 113,956.28 and 54,635.12 is: 81,966.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,957.84 : 113,956.28 = 54,635.12 : x
  2. Step 2: Convert to fraction form
    75,957.84/113,956.28 = 54,635.12/x
  3. Step 3: Cross multiply
    75,957.84x = 113,956.28 × 54,635.12
  4. Step 4: Simplify right side
    75,957.84x = 6,226,015,032.55
  5. Step 5: Solve for x
    x = 6,226,015,032.55/75,957.84
  6. Step 6: Final answer
    x = 81,966.72

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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.