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Finding the Fourth Proportional to 57,788.59, 86,696.19 and 24,509.95

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Solution

The fourth proportional to 57,788.59, 86,696.19 and 24,509.95 is: 36,770.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,788.59 : 86,696.19 = 24,509.95 : x
  2. Step 2: Convert to fraction form
    57,788.59/86,696.19 = 24,509.95/x
  3. Step 3: Cross multiply
    57,788.59x = 86,696.19 × 24,509.95
  4. Step 4: Simplify right side
    57,788.59x = 2,124,919,282.09
  5. Step 5: Solve for x
    x = 2,124,919,282.09/57,788.59
  6. Step 6: Final answer
    x = 36,770.57

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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.