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Finding the Fourth Proportional to 83,176.44, 114,804.10 and 47,387.72

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Solution

The fourth proportional to 83,176.44, 114,804.10 and 47,387.72 is: 65,406.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,176.44 : 114,804.10 = 47,387.72 : x
  2. Step 2: Convert to fraction form
    83,176.44/114,804.10 = 47,387.72/x
  3. Step 3: Cross multiply
    83,176.44x = 114,804.10 × 47,387.72
  4. Step 4: Simplify right side
    83,176.44x = 5,440,304,545.65
  5. Step 5: Solve for x
    x = 5,440,304,545.65/83,176.44
  6. Step 6: Final answer
    x = 65,406.80

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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.