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Finding the Fourth Proportional to 57,140.58, 85,724.55 and 23,842.17

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Solution

The fourth proportional to 57,140.58, 85,724.55 and 23,842.17 is: 35,768.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,140.58 : 85,724.55 = 23,842.17 : x
  2. Step 2: Convert to fraction form
    57,140.58/85,724.55 = 23,842.17/x
  3. Step 3: Cross multiply
    57,140.58x = 85,724.55 × 23,842.17
  4. Step 4: Simplify right side
    57,140.58x = 2,043,859,294.27
  5. Step 5: Solve for x
    x = 2,043,859,294.27/57,140.58
  6. Step 6: Final answer
    x = 35,768.96

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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.