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Finding the Fourth Proportional to 75,713.40, 113,570.10 and 36,250.20

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Solution

The fourth proportional to 75,713.40, 113,570.10 and 36,250.20 is: 54,375.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,713.40 : 113,570.10 = 36,250.20 : x
  2. Step 2: Convert to fraction form
    75,713.40/113,570.10 = 36,250.20/x
  3. Step 3: Cross multiply
    75,713.40x = 113,570.10 × 36,250.20
  4. Step 4: Simplify right side
    75,713.40x = 4,116,938,839.02
  5. Step 5: Solve for x
    x = 4,116,938,839.02/75,713.40
  6. Step 6: Final answer
    x = 54,375.30

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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.