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Finding the Fourth Proportional to 83,217.04, 114,839.04 and 47,408.56

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Solution

The fourth proportional to 83,217.04, 114,839.04 and 47,408.56 is: 65,423.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,217.04 : 114,839.04 = 47,408.56 : x
  2. Step 2: Convert to fraction form
    83,217.04/114,839.04 = 47,408.56/x
  3. Step 3: Cross multiply
    83,217.04x = 114,839.04 × 47,408.56
  4. Step 4: Simplify right side
    83,217.04x = 5,444,353,518.18
  5. Step 5: Solve for x
    x = 5,444,353,518.18/83,217.04
  6. Step 6: Final answer
    x = 65,423.54

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1.5x scale

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.