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Finding the Fourth Proportional to 65,230.80, 97,846.20 and 38,965.20

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Solution

The fourth proportional to 65,230.80, 97,846.20 and 38,965.20 is: 58,447.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,230.80 : 97,846.20 = 38,965.20 : x
  2. Step 2: Convert to fraction form
    65,230.80/97,846.20 = 38,965.20/x
  3. Step 3: Cross multiply
    65,230.80x = 97,846.20 × 38,965.20
  4. Step 4: Simplify right side
    65,230.80x = 3,812,596,752.24
  5. Step 5: Solve for x
    x = 3,812,596,752.24/65,230.80
  6. Step 6: Final answer
    x = 58,447.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.