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Finding the Fourth Proportional to 69,855.12, 96,402.24 and 38,026.14

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Solution

The fourth proportional to 69,855.12, 96,402.24 and 38,026.14 is: 52,477.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,855.12 : 96,402.24 = 38,026.14 : x
  2. Step 2: Convert to fraction form
    69,855.12/96,402.24 = 38,026.14/x
  3. Step 3: Cross multiply
    69,855.12x = 96,402.24 × 38,026.14
  4. Step 4: Simplify right side
    69,855.12x = 3,665,805,074.55
  5. Step 5: Solve for x
    x = 3,665,805,074.55/69,855.12
  6. Step 6: Final answer
    x = 52,477.26

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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.