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Finding the Fourth Proportional to 83,209.66, 114,829.33 and 45,483.91

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Solution

The fourth proportional to 83,209.66, 114,829.33 and 45,483.91 is: 62,767.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,209.66 : 114,829.33 = 45,483.91 : x
  2. Step 2: Convert to fraction form
    83,209.66/114,829.33 = 45,483.91/x
  3. Step 3: Cross multiply
    83,209.66x = 114,829.33 × 45,483.91
  4. Step 4: Simplify right side
    83,209.66x = 5,222,886,683.66
  5. Step 5: Solve for x
    x = 5,222,886,683.66/83,209.66
  6. Step 6: Final answer
    x = 62,767.79

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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.