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Finding the Fourth Proportional to 48,773.40, 73,159.92 and 11,837.40

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Solution

The fourth proportional to 48,773.40, 73,159.92 and 11,837.40 is: 17,756.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,773.40 : 73,159.92 = 11,837.40 : x
  2. Step 2: Convert to fraction form
    48,773.40/73,159.92 = 11,837.40/x
  3. Step 3: Cross multiply
    48,773.40x = 73,159.92 × 11,837.40
  4. Step 4: Simplify right side
    48,773.40x = 866,023,237.01
  5. Step 5: Solve for x
    x = 866,023,237.01/48,773.40
  6. Step 6: Final answer
    x = 17,756.06

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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.