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Finding the Fourth Proportional to 84,745.32, 127,068.14 and 32,158.50

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Solution

The fourth proportional to 84,745.32, 127,068.14 and 32,158.50 is: 48,218.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,745.32 : 127,068.14 = 32,158.50 : x
  2. Step 2: Convert to fraction form
    84,745.32/127,068.14 = 32,158.50/x
  3. Step 3: Cross multiply
    84,745.32x = 127,068.14 × 32,158.50
  4. Step 4: Simplify right side
    84,745.32x = 4,086,320,780.19
  5. Step 5: Solve for x
    x = 4,086,320,780.19/84,745.32
  6. Step 6: Final answer
    x = 48,218.84

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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.