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Finding the Fourth Proportional to 48,705.48, 73,062 and 15,427.44

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Solution

The fourth proportional to 48,705.48, 73,062 and 15,427.44 is: 23,142.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,705.48 : 73,062 = 15,427.44 : x
  2. Step 2: Convert to fraction form
    48,705.48/73,062 = 15,427.44/x
  3. Step 3: Cross multiply
    48,705.48x = 73,062 × 15,427.44
  4. Step 4: Simplify right side
    48,705.48x = 1,127,159,621.28
  5. Step 5: Solve for x
    x = 1,127,159,621.28/48,705.48
  6. Step 6: Final answer
    x = 23,142.36

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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.