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Finding the Fourth Proportional to 83,423.16, 115,122.87 and 45,697.68

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Solution

The fourth proportional to 83,423.16, 115,122.87 and 45,697.68 is: 63,062.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,423.16 : 115,122.87 = 45,697.68 : x
  2. Step 2: Convert to fraction form
    83,423.16/115,122.87 = 45,697.68/x
  3. Step 3: Cross multiply
    83,423.16x = 115,122.87 × 45,697.68
  4. Step 4: Simplify right side
    83,423.16x = 5,260,848,073.94
  5. Step 5: Solve for x
    x = 5,260,848,073.94/83,423.16
  6. Step 6: Final answer
    x = 63,062.20

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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.