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Finding the Fourth Proportional to 48,807.81, 73,205.19 and 13,750.20

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Solution

The fourth proportional to 48,807.81, 73,205.19 and 13,750.20 is: 20,623.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,807.81 : 73,205.19 = 13,750.20 : x
  2. Step 2: Convert to fraction form
    48,807.81/73,205.19 = 13,750.20/x
  3. Step 3: Cross multiply
    48,807.81x = 73,205.19 × 13,750.20
  4. Step 4: Simplify right side
    48,807.81x = 1,006,586,003.54
  5. Step 5: Solve for x
    x = 1,006,586,003.54/48,807.81
  6. Step 6: Final answer
    x = 20,623.46

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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.