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Finding the Fourth Proportional to 83,384.40, 115,070.28 and 45,658.32

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Solution

The fourth proportional to 83,384.40, 115,070.28 and 45,658.32 is: 63,008.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,384.40 : 115,070.28 = 45,658.32 : x
  2. Step 2: Convert to fraction form
    83,384.40/115,070.28 = 45,658.32/x
  3. Step 3: Cross multiply
    83,384.40x = 115,070.28 × 45,658.32
  4. Step 4: Simplify right side
    83,384.40x = 5,253,915,666.73
  5. Step 5: Solve for x
    x = 5,253,915,666.73/83,384.40
  6. Step 6: Final answer
    x = 63,008.38

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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.