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Finding the Fourth Proportional to 85,113.82, 127,679.20 and 32,567.50

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Solution

The fourth proportional to 85,113.82, 127,679.20 and 32,567.50 is: 48,854.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,113.82 : 127,679.20 = 32,567.50 : x
  2. Step 2: Convert to fraction form
    85,113.82/127,679.20 = 32,567.50/x
  3. Step 3: Cross multiply
    85,113.82x = 127,679.20 × 32,567.50
  4. Step 4: Simplify right side
    85,113.82x = 4,158,192,346
  5. Step 5: Solve for x
    x = 4,158,192,346/85,113.82
  6. Step 6: Final answer
    x = 48,854.49

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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.