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Finding the Fourth Proportional to 74,616.52, 111,924.80 and 24,683.20

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Solution

The fourth proportional to 74,616.52, 111,924.80 and 24,683.20 is: 37,024.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,616.52 : 111,924.80 = 24,683.20 : x
  2. Step 2: Convert to fraction form
    74,616.52/111,924.80 = 24,683.20/x
  3. Step 3: Cross multiply
    74,616.52x = 111,924.80 × 24,683.20
  4. Step 4: Simplify right side
    74,616.52x = 2,762,662,223.36
  5. Step 5: Solve for x
    x = 2,762,662,223.36/74,616.52
  6. Step 6: Final answer
    x = 37,024.81

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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.