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Finding the Fourth Proportional to 50,648.64, 75,984.80 and 15,587.52

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Solution

The fourth proportional to 50,648.64, 75,984.80 and 15,587.52 is: 23,384.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,648.64 : 75,984.80 = 15,587.52 : x
  2. Step 2: Convert to fraction form
    50,648.64/75,984.80 = 15,587.52/x
  3. Step 3: Cross multiply
    50,648.64x = 75,984.80 × 15,587.52
  4. Step 4: Simplify right side
    50,648.64x = 1,184,414,589.70
  5. Step 5: Solve for x
    x = 1,184,414,589.70/50,648.64
  6. Step 6: Final answer
    x = 23,384.92

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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.