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Finding the Fourth Proportional to 83,176.65, 114,804.42 and 47,387.94

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Solution

The fourth proportional to 83,176.65, 114,804.42 and 47,387.94 is: 65,407.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,176.65 : 114,804.42 = 47,387.94 : x
  2. Step 2: Convert to fraction form
    83,176.65/114,804.42 = 47,387.94/x
  3. Step 3: Cross multiply
    83,176.65x = 114,804.42 × 47,387.94
  4. Step 4: Simplify right side
    83,176.65x = 5,440,344,966.69
  5. Step 5: Solve for x
    x = 5,440,344,966.69/83,176.65
  6. Step 6: Final answer
    x = 65,407.12

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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.