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Finding the Fourth Proportional to 57,189.32, 85,667.28 and 29,429

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Solution

The fourth proportional to 57,189.32, 85,667.28 and 29,429 is: 44,083.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,189.32 : 85,667.28 = 29,429 : x
  2. Step 2: Convert to fraction form
    57,189.32/85,667.28 = 29,429/x
  3. Step 3: Cross multiply
    57,189.32x = 85,667.28 × 29,429
  4. Step 4: Simplify right side
    57,189.32x = 2,521,102,383.12
  5. Step 5: Solve for x
    x = 2,521,102,383.12/57,189.32
  6. Step 6: Final answer
    x = 44,083.45

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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.