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Finding the Fourth Proportional to 39,834.40, 59,737.20 and 20,106.40

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Solution

The fourth proportional to 39,834.40, 59,737.20 and 20,106.40 is: 30,152.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,834.40 : 59,737.20 = 20,106.40 : x
  2. Step 2: Convert to fraction form
    39,834.40/59,737.20 = 20,106.40/x
  3. Step 3: Cross multiply
    39,834.40x = 59,737.20 × 20,106.40
  4. Step 4: Simplify right side
    39,834.40x = 1,201,100,038.08
  5. Step 5: Solve for x
    x = 1,201,100,038.08/39,834.40
  6. Step 6: Final answer
    x = 30,152.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.