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Finding the Fourth Proportional to 24,048.50, 36,076.69 and 7,408.16

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Solution

The fourth proportional to 24,048.50, 36,076.69 and 7,408.16 is: 11,113.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,048.50 : 36,076.69 = 7,408.16 : x
  2. Step 2: Convert to fraction form
    24,048.50/36,076.69 = 7,408.16/x
  3. Step 3: Cross multiply
    24,048.50x = 36,076.69 × 7,408.16
  4. Step 4: Simplify right side
    24,048.50x = 267,261,855.95
  5. Step 5: Solve for x
    x = 267,261,855.95/24,048.50
  6. Step 6: Final answer
    x = 11,113.45

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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.