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Finding the Fourth Proportional to 48,008, 72,023.52 and 15,176

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Solution

The fourth proportional to 48,008, 72,023.52 and 15,176 is: 22,767.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,008 : 72,023.52 = 15,176 : x
  2. Step 2: Convert to fraction form
    48,008/72,023.52 = 15,176/x
  3. Step 3: Cross multiply
    48,008x = 72,023.52 × 15,176
  4. Step 4: Simplify right side
    48,008x = 1,093,028,939.52
  5. Step 5: Solve for x
    x = 1,093,028,939.52/48,008
  6. Step 6: Final answer
    x = 22,767.64

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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.