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Finding the Fourth Proportional to 57,178.77, 78,808.19 and 38,024.31

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Solution

The fourth proportional to 57,178.77, 78,808.19 and 38,024.31 is: 52,408.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,178.77 : 78,808.19 = 38,024.31 : x
  2. Step 2: Convert to fraction form
    57,178.77/78,808.19 = 38,024.31/x
  3. Step 3: Cross multiply
    57,178.77x = 78,808.19 × 38,024.31
  4. Step 4: Simplify right side
    57,178.77x = 2,996,626,462.94
  5. Step 5: Solve for x
    x = 2,996,626,462.94/57,178.77
  6. Step 6: Final answer
    x = 52,408.03

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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.