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Finding the Fourth Proportional to 52,155.38, 71,974.32 and 28,281.98

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Solution

The fourth proportional to 52,155.38, 71,974.32 and 28,281.98 is: 39,029.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,155.38 : 71,974.32 = 28,281.98 : x
  2. Step 2: Convert to fraction form
    52,155.38/71,974.32 = 28,281.98/x
  3. Step 3: Cross multiply
    52,155.38x = 71,974.32 × 28,281.98
  4. Step 4: Simplify right side
    52,155.38x = 2,035,576,278.75
  5. Step 5: Solve for x
    x = 2,035,576,278.75/52,155.38
  6. Step 6: Final answer
    x = 39,029.08

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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.