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Finding the Fourth Proportional to 83,004.64, 114,545.92 and 45,278.88

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Solution

The fourth proportional to 83,004.64, 114,545.92 and 45,278.88 is: 62,484.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,004.64 : 114,545.92 = 45,278.88 : x
  2. Step 2: Convert to fraction form
    83,004.64/114,545.92 = 45,278.88/x
  3. Step 3: Cross multiply
    83,004.64x = 114,545.92 × 45,278.88
  4. Step 4: Simplify right side
    83,004.64x = 5,186,510,966.17
  5. Step 5: Solve for x
    x = 5,186,510,966.17/83,004.64
  6. Step 6: Final answer
    x = 62,484.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.