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Finding the Fourth Proportional to 48,703.56, 73,027.56 and 15,432

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Solution

The fourth proportional to 48,703.56, 73,027.56 and 15,432 is: 23,139.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,703.56 : 73,027.56 = 15,432 : x
  2. Step 2: Convert to fraction form
    48,703.56/73,027.56 = 15,432/x
  3. Step 3: Cross multiply
    48,703.56x = 73,027.56 × 15,432
  4. Step 4: Simplify right side
    48,703.56x = 1,126,961,305.92
  5. Step 5: Solve for x
    x = 1,126,961,305.92/48,703.56
  6. Step 6: Final answer
    x = 23,139.20

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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.