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Finding the Fourth Proportional to 48,743.92, 73,126.92 and 15,466

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Solution

The fourth proportional to 48,743.92, 73,126.92 and 15,466 is: 23,202.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,743.92 : 73,126.92 = 15,466 : x
  2. Step 2: Convert to fraction form
    48,743.92/73,126.92 = 15,466/x
  3. Step 3: Cross multiply
    48,743.92x = 73,126.92 × 15,466
  4. Step 4: Simplify right side
    48,743.92x = 1,130,980,944.72
  5. Step 5: Solve for x
    x = 1,130,980,944.72/48,743.92
  6. Step 6: Final answer
    x = 23,202.50

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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.