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Finding the Fourth Proportional to 52,641.38, 72,638.74 and 29,980.42

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Solution

The fourth proportional to 52,641.38, 72,638.74 and 29,980.42 is: 41,369.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,641.38 : 72,638.74 = 29,980.42 : x
  2. Step 2: Convert to fraction form
    52,641.38/72,638.74 = 29,980.42/x
  3. Step 3: Cross multiply
    52,641.38x = 72,638.74 × 29,980.42
  4. Step 4: Simplify right side
    52,641.38x = 2,177,739,933.47
  5. Step 5: Solve for x
    x = 2,177,739,933.47/52,641.38
  6. Step 6: Final answer
    x = 41,369.35

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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.