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Finding the Fourth Proportional to 83,074.90, 114,641.88 and 47,264.14

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Solution

The fourth proportional to 83,074.90, 114,641.88 and 47,264.14 is: 65,223.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,074.90 : 114,641.88 = 47,264.14 : x
  2. Step 2: Convert to fraction form
    83,074.90/114,641.88 = 47,264.14/x
  3. Step 3: Cross multiply
    83,074.90x = 114,641.88 × 47,264.14
  4. Step 4: Simplify right side
    83,074.90x = 5,418,449,292.97
  5. Step 5: Solve for x
    x = 5,418,449,292.97/83,074.90
  6. Step 6: Final answer
    x = 65,223.67

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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.