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Finding the Fourth Proportional to 52,897, 72,997.88 and 30,541

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Solution

The fourth proportional to 52,897, 72,997.88 and 30,541 is: 42,146.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,897 : 72,997.88 = 30,541 : x
  2. Step 2: Convert to fraction form
    52,897/72,997.88 = 30,541/x
  3. Step 3: Cross multiply
    52,897x = 72,997.88 × 30,541
  4. Step 4: Simplify right side
    52,897x = 2,229,428,253.08
  5. Step 5: Solve for x
    x = 2,229,428,253.08/52,897
  6. Step 6: Final answer
    x = 42,146.59

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