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Finding the Fourth Proportional to 48,704.56, 73,029.06 and 15,433

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Solution

The fourth proportional to 48,704.56, 73,029.06 and 15,433 is: 23,140.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,704.56 : 73,029.06 = 15,433 : x
  2. Step 2: Convert to fraction form
    48,704.56/73,029.06 = 15,433/x
  3. Step 3: Cross multiply
    48,704.56x = 73,029.06 × 15,433
  4. Step 4: Simplify right side
    48,704.56x = 1,127,057,482.98
  5. Step 5: Solve for x
    x = 1,127,057,482.98/48,704.56
  6. Step 6: Final answer
    x = 23,140.70

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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.