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Finding the Fourth Proportional to 52,805.38, 72,860.08 and 31,301.90

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Solution

The fourth proportional to 52,805.38, 72,860.08 and 31,301.90 is: 43,189.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,805.38 : 72,860.08 = 31,301.90 : x
  2. Step 2: Convert to fraction form
    52,805.38/72,860.08 = 31,301.90/x
  3. Step 3: Cross multiply
    52,805.38x = 72,860.08 × 31,301.90
  4. Step 4: Simplify right side
    52,805.38x = 2,280,658,938.15
  5. Step 5: Solve for x
    x = 2,280,658,938.15/52,805.38
  6. Step 6: Final answer
    x = 43,189.90

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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.