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Finding the Fourth Proportional to 53,808.66, 80,712.12 and 24,205.56

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Solution

The fourth proportional to 53,808.66, 80,712.12 and 24,205.56 is: 36,307.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,808.66 : 80,712.12 = 24,205.56 : x
  2. Step 2: Convert to fraction form
    53,808.66/80,712.12 = 24,205.56/x
  3. Step 3: Cross multiply
    53,808.66x = 80,712.12 × 24,205.56
  4. Step 4: Simplify right side
    53,808.66x = 1,953,682,063.39
  5. Step 5: Solve for x
    x = 1,953,682,063.39/53,808.66
  6. Step 6: Final answer
    x = 36,307.95

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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.