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Finding the Fourth Proportional to 53,924.88, 80,902 and 30,567.76

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Solution

The fourth proportional to 53,924.88, 80,902 and 30,567.76 is: 45,859.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,924.88 : 80,902 = 30,567.76 : x
  2. Step 2: Convert to fraction form
    53,924.88/80,902 = 30,567.76/x
  3. Step 3: Cross multiply
    53,924.88x = 80,902 × 30,567.76
  4. Step 4: Simplify right side
    53,924.88x = 2,472,992,919.52
  5. Step 5: Solve for x
    x = 2,472,992,919.52/53,924.88
  6. Step 6: Final answer
    x = 45,859.96

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1.5x scale

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.