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Finding the Fourth Proportional to 83,017.70, 114,565.74 and 45,291.95

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Solution

The fourth proportional to 83,017.70, 114,565.74 and 45,291.95 is: 62,503.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,017.70 : 114,565.74 = 45,291.95 : x
  2. Step 2: Convert to fraction form
    83,017.70/114,565.74 = 45,291.95/x
  3. Step 3: Cross multiply
    83,017.70x = 114,565.74 × 45,291.95
  4. Step 4: Simplify right side
    83,017.70x = 5,188,905,194.96
  5. Step 5: Solve for x
    x = 5,188,905,194.96/83,017.70
  6. Step 6: Final answer
    x = 62,503.60

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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.