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Finding the Fourth Proportional to 24,118.54, 36,101.25 and 23,200

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Solution

The fourth proportional to 24,118.54, 36,101.25 and 23,200 is: 34,726.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,118.54 : 36,101.25 = 23,200 : x
  2. Step 2: Convert to fraction form
    24,118.54/36,101.25 = 23,200/x
  3. Step 3: Cross multiply
    24,118.54x = 36,101.25 × 23,200
  4. Step 4: Simplify right side
    24,118.54x = 837,549,000
  5. Step 5: Solve for x
    x = 837,549,000/24,118.54
  6. Step 6: Final answer
    x = 34,726.36

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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.