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Finding the Fourth Proportional to 83,335.68, 115,002.42 and 45,094.38

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Solution

The fourth proportional to 83,335.68, 115,002.42 and 45,094.38 is: 62,229.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,335.68 : 115,002.42 = 45,094.38 : x
  2. Step 2: Convert to fraction form
    83,335.68/115,002.42 = 45,094.38/x
  3. Step 3: Cross multiply
    83,335.68x = 115,002.42 × 45,094.38
  4. Step 4: Simplify right side
    83,335.68x = 5,185,962,828.40
  5. Step 5: Solve for x
    x = 5,185,962,828.40/83,335.68
  6. Step 6: Final answer
    x = 62,229.80

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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.