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Finding the Fourth Proportional to 83,320.53, 114,982.38 and 45,594.78

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Solution

The fourth proportional to 83,320.53, 114,982.38 and 45,594.78 is: 62,920.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,320.53 : 114,982.38 = 45,594.78 : x
  2. Step 2: Convert to fraction form
    83,320.53/114,982.38 = 45,594.78/x
  3. Step 3: Cross multiply
    83,320.53x = 114,982.38 × 45,594.78
  4. Step 4: Simplify right side
    83,320.53x = 5,242,596,319.98
  5. Step 5: Solve for x
    x = 5,242,596,319.98/83,320.53
  6. Step 6: Final answer
    x = 62,920.82

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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.