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Finding the Fourth Proportional to 107,257.14, 160,886.92 and 32,378

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Solution

The fourth proportional to 107,257.14, 160,886.92 and 32,378 is: 48,567.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,257.14 : 160,886.92 = 32,378 : x
  2. Step 2: Convert to fraction form
    107,257.14/160,886.92 = 32,378/x
  3. Step 3: Cross multiply
    107,257.14x = 160,886.92 × 32,378
  4. Step 4: Simplify right side
    107,257.14x = 5,209,196,695.76
  5. Step 5: Solve for x
    x = 5,209,196,695.76/107,257.14
  6. Step 6: Final answer
    x = 48,567.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.