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Finding the Fourth Proportional to 48,642.81, 72,961.56 and 14,908.78

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Solution

The fourth proportional to 48,642.81, 72,961.56 and 14,908.78 is: 22,362.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,642.81 : 72,961.56 = 14,908.78 : x
  2. Step 2: Convert to fraction form
    48,642.81/72,961.56 = 14,908.78/x
  3. Step 3: Cross multiply
    48,642.81x = 72,961.56 × 14,908.78
  4. Step 4: Simplify right side
    48,642.81x = 1,087,767,846.50
  5. Step 5: Solve for x
    x = 1,087,767,846.50/48,642.81
  6. Step 6: Final answer
    x = 22,362.36

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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.