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Finding the Fourth Proportional to 49,734.40, 74,642.40 and 49,345.60

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Solution

The fourth proportional to 49,734.40, 74,642.40 and 49,345.60 is: 74,058.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,734.40 : 74,642.40 = 49,345.60 : x
  2. Step 2: Convert to fraction form
    49,734.40/74,642.40 = 49,345.60/x
  3. Step 3: Cross multiply
    49,734.40x = 74,642.40 × 49,345.60
  4. Step 4: Simplify right side
    49,734.40x = 3,683,274,013.44
  5. Step 5: Solve for x
    x = 3,683,274,013.44/49,734.40
  6. Step 6: Final answer
    x = 74,058.88

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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.