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Finding the Fourth Proportional to 83,164, 114,766.32 and 45,438.52

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Solution

The fourth proportional to 83,164, 114,766.32 and 45,438.52 is: 62,705.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,164 : 114,766.32 = 45,438.52 : x
  2. Step 2: Convert to fraction form
    83,164/114,766.32 = 45,438.52/x
  3. Step 3: Cross multiply
    83,164x = 114,766.32 × 45,438.52
  4. Step 4: Simplify right side
    83,164x = 5,214,811,726.65
  5. Step 5: Solve for x
    x = 5,214,811,726.65/83,164
  6. Step 6: Final answer
    x = 62,705.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.