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Finding the Fourth Proportional to 39,199.92, 54,075.18 and 24,834.42

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Solution

The fourth proportional to 39,199.92, 54,075.18 and 24,834.42 is: 34,258.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,199.92 : 54,075.18 = 24,834.42 : x
  2. Step 2: Convert to fraction form
    39,199.92/54,075.18 = 24,834.42/x
  3. Step 3: Cross multiply
    39,199.92x = 54,075.18 × 24,834.42
  4. Step 4: Simplify right side
    39,199.92x = 1,342,925,731.70
  5. Step 5: Solve for x
    x = 1,342,925,731.70/39,199.92
  6. Step 6: Final answer
    x = 34,258.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.