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Finding the Fourth Proportional to 48,482.64, 72,731.25 and 15,195.30

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Solution

The fourth proportional to 48,482.64, 72,731.25 and 15,195.30 is: 22,795.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,482.64 : 72,731.25 = 15,195.30 : x
  2. Step 2: Convert to fraction form
    48,482.64/72,731.25 = 15,195.30/x
  3. Step 3: Cross multiply
    48,482.64x = 72,731.25 × 15,195.30
  4. Step 4: Simplify right side
    48,482.64x = 1,105,173,163.13
  5. Step 5: Solve for x
    x = 1,105,173,163.13/48,482.64
  6. Step 6: Final answer
    x = 22,795.23

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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.