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Finding the Fourth Proportional to 92,343.42, 138,506.49 and 39,743.10

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Solution

The fourth proportional to 92,343.42, 138,506.49 and 39,743.10 is: 59,610.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,343.42 : 138,506.49 = 39,743.10 : x
  2. Step 2: Convert to fraction form
    92,343.42/138,506.49 = 39,743.10/x
  3. Step 3: Cross multiply
    92,343.42x = 138,506.49 × 39,743.10
  4. Step 4: Simplify right side
    92,343.42x = 5,504,677,282.72
  5. Step 5: Solve for x
    x = 5,504,677,282.72/92,343.42
  6. Step 6: Final answer
    x = 59,610.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.