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Finding the Fourth Proportional to 31,251, 43,125.31 and 17,826.58

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Solution

The fourth proportional to 31,251, 43,125.31 and 17,826.58 is: 24,600.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,251 : 43,125.31 = 17,826.58 : x
  2. Step 2: Convert to fraction form
    31,251/43,125.31 = 17,826.58/x
  3. Step 3: Cross multiply
    31,251x = 43,125.31 × 17,826.58
  4. Step 4: Simplify right side
    31,251x = 768,776,788.74
  5. Step 5: Solve for x
    x = 768,776,788.74/31,251
  6. Step 6: Final answer
    x = 24,600.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.