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Finding the Fourth Proportional to 48,258.65, 72,379.10 and 13,198.01

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Solution

The fourth proportional to 48,258.65, 72,379.10 and 13,198.01 is: 19,794.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,258.65 : 72,379.10 = 13,198.01 : x
  2. Step 2: Convert to fraction form
    48,258.65/72,379.10 = 13,198.01/x
  3. Step 3: Cross multiply
    48,258.65x = 72,379.10 × 13,198.01
  4. Step 4: Simplify right side
    48,258.65x = 955,259,756.69
  5. Step 5: Solve for x
    x = 955,259,756.69/48,258.65
  6. Step 6: Final answer
    x = 19,794.58

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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.