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Finding the Fourth Proportional to 83,462.16, 115,176.80 and 45,220.96

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Solution

The fourth proportional to 83,462.16, 115,176.80 and 45,220.96 is: 62,404.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,462.16 : 115,176.80 = 45,220.96 : x
  2. Step 2: Convert to fraction form
    83,462.16/115,176.80 = 45,220.96/x
  3. Step 3: Cross multiply
    83,462.16x = 115,176.80 × 45,220.96
  4. Step 4: Simplify right side
    83,462.16x = 5,208,405,465.73
  5. Step 5: Solve for x
    x = 5,208,405,465.73/83,462.16
  6. Step 6: Final answer
    x = 62,404.39

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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.