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Finding the Fourth Proportional to 83,271.63, 114,914.66 and 45,545.88

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Solution

The fourth proportional to 83,271.63, 114,914.66 and 45,545.88 is: 62,853.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,271.63 : 114,914.66 = 45,545.88 : x
  2. Step 2: Convert to fraction form
    83,271.63/114,914.66 = 45,545.88/x
  3. Step 3: Cross multiply
    83,271.63x = 114,914.66 × 45,545.88
  4. Step 4: Simplify right side
    83,271.63x = 5,233,889,314.60
  5. Step 5: Solve for x
    x = 5,233,889,314.60/83,271.63
  6. Step 6: Final answer
    x = 62,853.21

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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.