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Finding the Fourth Proportional to 83,158.07, 114,758.25 and 47,348.10

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Solution

The fourth proportional to 83,158.07, 114,758.25 and 47,348.10 is: 65,340.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,158.07 : 114,758.25 = 47,348.10 : x
  2. Step 2: Convert to fraction form
    83,158.07/114,758.25 = 47,348.10/x
  3. Step 3: Cross multiply
    83,158.07x = 114,758.25 × 47,348.10
  4. Step 4: Simplify right side
    83,158.07x = 5,433,585,096.83
  5. Step 5: Solve for x
    x = 5,433,585,096.83/83,158.07
  6. Step 6: Final answer
    x = 65,340.45

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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.