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Finding the Fourth Proportional to 39,347.60, 54,299.48 and 22,586

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Solution

The fourth proportional to 39,347.60, 54,299.48 and 22,586 is: 31,168.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,347.60 : 54,299.48 = 22,586 : x
  2. Step 2: Convert to fraction form
    39,347.60/54,299.48 = 22,586/x
  3. Step 3: Cross multiply
    39,347.60x = 54,299.48 × 22,586
  4. Step 4: Simplify right side
    39,347.60x = 1,226,408,055.28
  5. Step 5: Solve for x
    x = 1,226,408,055.28/39,347.60
  6. Step 6: Final answer
    x = 31,168.56

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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.