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Finding the Fourth Proportional to 83,098.98, 114,671.30 and 45,373.23

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Solution

The fourth proportional to 83,098.98, 114,671.30 and 45,373.23 is: 62,612.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,098.98 : 114,671.30 = 45,373.23 : x
  2. Step 2: Convert to fraction form
    83,098.98/114,671.30 = 45,373.23/x
  3. Step 3: Cross multiply
    83,098.98x = 114,671.30 × 45,373.23
  4. Step 4: Simplify right side
    83,098.98x = 5,203,007,042.43
  5. Step 5: Solve for x
    x = 5,203,007,042.43/83,098.98
  6. Step 6: Final answer
    x = 62,612.16

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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.