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Finding the Fourth Proportional to 48,645.20, 72,967.80 and 22,401.20

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Solution

The fourth proportional to 48,645.20, 72,967.80 and 22,401.20 is: 33,601.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,645.20 : 72,967.80 = 22,401.20 : x
  2. Step 2: Convert to fraction form
    48,645.20/72,967.80 = 22,401.20/x
  3. Step 3: Cross multiply
    48,645.20x = 72,967.80 × 22,401.20
  4. Step 4: Simplify right side
    48,645.20x = 1,634,566,281.36
  5. Step 5: Solve for x
    x = 1,634,566,281.36/48,645.20
  6. Step 6: Final answer
    x = 33,601.80

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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.