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Finding the Fourth Proportional to 65,213.80, 97,820.70 and 38,948.20

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Solution

The fourth proportional to 65,213.80, 97,820.70 and 38,948.20 is: 58,422.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,213.80 : 97,820.70 = 38,948.20 : x
  2. Step 2: Convert to fraction form
    65,213.80/97,820.70 = 38,948.20/x
  3. Step 3: Cross multiply
    65,213.80x = 97,820.70 × 38,948.20
  4. Step 4: Simplify right side
    65,213.80x = 3,809,940,187.74
  5. Step 5: Solve for x
    x = 3,809,940,187.74/65,213.80
  6. Step 6: Final answer
    x = 58,422.30

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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.