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Finding the Fourth Proportional to 65,193.12, 89,964.18 and 36,898.20

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Solution

The fourth proportional to 65,193.12, 89,964.18 and 36,898.20 is: 50,918.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,193.12 : 89,964.18 = 36,898.20 : x
  2. Step 2: Convert to fraction form
    65,193.12/89,964.18 = 36,898.20/x
  3. Step 3: Cross multiply
    65,193.12x = 89,964.18 × 36,898.20
  4. Step 4: Simplify right side
    65,193.12x = 3,319,516,306.48
  5. Step 5: Solve for x
    x = 3,319,516,306.48/65,193.12
  6. Step 6: Final answer
    x = 50,918.20

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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.