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Finding the Fourth Proportional to 61,142.20, 91,713.30 and 24,206.20

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Solution

The fourth proportional to 61,142.20, 91,713.30 and 24,206.20 is: 36,309.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,142.20 : 91,713.30 = 24,206.20 : x
  2. Step 2: Convert to fraction form
    61,142.20/91,713.30 = 24,206.20/x
  3. Step 3: Cross multiply
    61,142.20x = 91,713.30 × 24,206.20
  4. Step 4: Simplify right side
    61,142.20x = 2,220,030,482.46
  5. Step 5: Solve for x
    x = 2,220,030,482.46/61,142.20
  6. Step 6: Final answer
    x = 36,309.30

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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.