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Finding the Fourth Proportional to 48,494.40, 72,751.40 and 15,213.12

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Solution

The fourth proportional to 48,494.40, 72,751.40 and 15,213.12 is: 22,822.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,494.40 : 72,751.40 = 15,213.12 : x
  2. Step 2: Convert to fraction form
    48,494.40/72,751.40 = 15,213.12/x
  3. Step 3: Cross multiply
    48,494.40x = 72,751.40 × 15,213.12
  4. Step 4: Simplify right side
    48,494.40x = 1,106,775,778.37
  5. Step 5: Solve for x
    x = 1,106,775,778.37/48,494.40
  6. Step 6: Final answer
    x = 22,822.75

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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.