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Finding the Fourth Proportional to 39,749.34, 54,842.10 and 23,827.98

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Solution

The fourth proportional to 39,749.34, 54,842.10 and 23,827.98 is: 32,875.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,749.34 : 54,842.10 = 23,827.98 : x
  2. Step 2: Convert to fraction form
    39,749.34/54,842.10 = 23,827.98/x
  3. Step 3: Cross multiply
    39,749.34x = 54,842.10 × 23,827.98
  4. Step 4: Simplify right side
    39,749.34x = 1,306,776,461.96
  5. Step 5: Solve for x
    x = 1,306,776,461.96/39,749.34
  6. Step 6: Final answer
    x = 32,875.43

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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.