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Finding the Fourth Proportional to 48,036, 72,079.92 and 23,412

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Solution

The fourth proportional to 48,036, 72,079.92 and 23,412 is: 35,130.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,036 : 72,079.92 = 23,412 : x
  2. Step 2: Convert to fraction form
    48,036/72,079.92 = 23,412/x
  3. Step 3: Cross multiply
    48,036x = 72,079.92 × 23,412
  4. Step 4: Simplify right side
    48,036x = 1,687,535,087.04
  5. Step 5: Solve for x
    x = 1,687,535,087.04/48,036
  6. Step 6: Final answer
    x = 35,130.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.