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Finding the Fourth Proportional to 57,409.92, 86,154.24 and 22,349.76

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Solution

The fourth proportional to 57,409.92, 86,154.24 and 22,349.76 is: 33,539.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,409.92 : 86,154.24 = 22,349.76 : x
  2. Step 2: Convert to fraction form
    57,409.92/86,154.24 = 22,349.76/x
  3. Step 3: Cross multiply
    57,409.92x = 86,154.24 × 22,349.76
  4. Step 4: Simplify right side
    57,409.92x = 1,925,526,586.98
  5. Step 5: Solve for x
    x = 1,925,526,586.98/57,409.92
  6. Step 6: Final answer
    x = 33,539.96

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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.