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Finding the Fourth Proportional to 83,271.33, 114,911.55 and 47,472.87

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Solution

The fourth proportional to 83,271.33, 114,911.55 and 47,472.87 is: 65,510.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,271.33 : 114,911.55 = 47,472.87 : x
  2. Step 2: Convert to fraction form
    83,271.33/114,911.55 = 47,472.87/x
  3. Step 3: Cross multiply
    83,271.33x = 114,911.55 × 47,472.87
  4. Step 4: Simplify right side
    83,271.33x = 5,455,181,074.65
  5. Step 5: Solve for x
    x = 5,455,181,074.65/83,271.33
  6. Step 6: Final answer
    x = 65,510.92

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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.