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Finding the Fourth Proportional to 83,216.88, 114,839.64 and 47,408.40

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Solution

The fourth proportional to 83,216.88, 114,839.64 and 47,408.40 is: 65,423.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,216.88 : 114,839.64 = 47,408.40 : x
  2. Step 2: Convert to fraction form
    83,216.88/114,839.64 = 47,408.40/x
  3. Step 3: Cross multiply
    83,216.88x = 114,839.64 × 47,408.40
  4. Step 4: Simplify right side
    83,216.88x = 5,444,363,588.98
  5. Step 5: Solve for x
    x = 5,444,363,588.98/83,216.88
  6. Step 6: Final answer
    x = 65,423.79

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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.