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Finding the Fourth Proportional to 83,076, 114,643.84 and 47,265.92

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Solution

The fourth proportional to 83,076, 114,643.84 and 47,265.92 is: 65,226.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,076 : 114,643.84 = 47,265.92 : x
  2. Step 2: Convert to fraction form
    83,076/114,643.84 = 47,265.92/x
  3. Step 3: Cross multiply
    83,076x = 114,643.84 × 47,265.92
  4. Step 4: Simplify right side
    83,076x = 5,418,746,569.93
  5. Step 5: Solve for x
    x = 5,418,746,569.93/83,076
  6. Step 6: Final answer
    x = 65,226.38

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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.