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Finding the Fourth Proportional to 83,311.04, 114,962.28 and 47,500.40

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Solution

The fourth proportional to 83,311.04, 114,962.28 and 47,500.40 is: 65,546.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,311.04 : 114,962.28 = 47,500.40 : x
  2. Step 2: Convert to fraction form
    83,311.04/114,962.28 = 47,500.40/x
  3. Step 3: Cross multiply
    83,311.04x = 114,962.28 × 47,500.40
  4. Step 4: Simplify right side
    83,311.04x = 5,460,754,284.91
  5. Step 5: Solve for x
    x = 5,460,754,284.91/83,311.04
  6. Step 6: Final answer
    x = 65,546.59

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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.