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Finding the Fourth Proportional to 57,374.92, 86,062.38 and 20,413

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Solution

The fourth proportional to 57,374.92, 86,062.38 and 20,413 is: 30,619.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,374.92 : 86,062.38 = 20,413 : x
  2. Step 2: Convert to fraction form
    57,374.92/86,062.38 = 20,413/x
  3. Step 3: Cross multiply
    57,374.92x = 86,062.38 × 20,413
  4. Step 4: Simplify right side
    57,374.92x = 1,756,791,362.94
  5. Step 5: Solve for x
    x = 1,756,791,362.94/57,374.92
  6. Step 6: Final answer
    x = 30,619.50

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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.