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Finding the Fourth Proportional to 83,951.84, 115,850.66 and 45,710.63

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Solution

The fourth proportional to 83,951.84, 115,850.66 and 45,710.63 is: 63,079.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,951.84 : 115,850.66 = 45,710.63 : x
  2. Step 2: Convert to fraction form
    83,951.84/115,850.66 = 45,710.63/x
  3. Step 3: Cross multiply
    83,951.84x = 115,850.66 × 45,710.63
  4. Step 4: Simplify right side
    83,951.84x = 5,295,606,281.15
  5. Step 5: Solve for x
    x = 5,295,606,281.15/83,951.84
  6. Step 6: Final answer
    x = 63,079.10

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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.