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Finding the Fourth Proportional to 105,711.92, 158,567.76 and 25,749.84

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Solution

The fourth proportional to 105,711.92, 158,567.76 and 25,749.84 is: 38,624.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,711.92 : 158,567.76 = 25,749.84 : x
  2. Step 2: Convert to fraction form
    105,711.92/158,567.76 = 25,749.84/x
  3. Step 3: Cross multiply
    105,711.92x = 158,567.76 × 25,749.84
  4. Step 4: Simplify right side
    105,711.92x = 4,083,094,449.16
  5. Step 5: Solve for x
    x = 4,083,094,449.16/105,711.92
  6. Step 6: Final answer
    x = 38,624.73

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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.