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Finding the Fourth Proportional to 52,896, 72,996.48 and 30,540

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Solution

The fourth proportional to 52,896, 72,996.48 and 30,540 is: 42,145.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,896 : 72,996.48 = 30,540 : x
  2. Step 2: Convert to fraction form
    52,896/72,996.48 = 30,540/x
  3. Step 3: Cross multiply
    52,896x = 72,996.48 × 30,540
  4. Step 4: Simplify right side
    52,896x = 2,229,312,499.20
  5. Step 5: Solve for x
    x = 2,229,312,499.20/52,896
  6. Step 6: Final answer
    x = 42,145.20

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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.