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Finding the Fourth Proportional to 123,657.28, 185,361.30 and 48,748.43

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Solution

The fourth proportional to 123,657.28, 185,361.30 and 48,748.43 is: 73,073.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,657.28 : 185,361.30 = 48,748.43 : x
  2. Step 2: Convert to fraction form
    123,657.28/185,361.30 = 48,748.43/x
  3. Step 3: Cross multiply
    123,657.28x = 185,361.30 × 48,748.43
  4. Step 4: Simplify right side
    123,657.28x = 9,036,071,430.95
  5. Step 5: Solve for x
    x = 9,036,071,430.95/123,657.28
  6. Step 6: Final answer
    x = 73,073.51

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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.