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Finding the Fourth Proportional to 39,827.40, 59,726.70 and 20,099.40

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Solution

The fourth proportional to 39,827.40, 59,726.70 and 20,099.40 is: 30,141.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,827.40 : 59,726.70 = 20,099.40 : x
  2. Step 2: Convert to fraction form
    39,827.40/59,726.70 = 20,099.40/x
  3. Step 3: Cross multiply
    39,827.40x = 59,726.70 × 20,099.40
  4. Step 4: Simplify right side
    39,827.40x = 1,200,470,833.98
  5. Step 5: Solve for x
    x = 1,200,470,833.98/39,827.40
  6. Step 6: Final answer
    x = 30,141.83

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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.