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Finding the Fourth Proportional to 72,271.16, 108,379.80 and 24,873

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Solution

The fourth proportional to 72,271.16, 108,379.80 and 24,873 is: 37,300.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,271.16 : 108,379.80 = 24,873 : x
  2. Step 2: Convert to fraction form
    72,271.16/108,379.80 = 24,873/x
  3. Step 3: Cross multiply
    72,271.16x = 108,379.80 × 24,873
  4. Step 4: Simplify right side
    72,271.16x = 2,695,730,765.40
  5. Step 5: Solve for x
    x = 2,695,730,765.40/72,271.16
  6. Step 6: Final answer
    x = 37,300.23

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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.