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Finding the Fourth Proportional to 24,578.52, 36,868.08 and 7,048.50

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Solution

The fourth proportional to 24,578.52, 36,868.08 and 7,048.50 is: 10,572.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,578.52 : 36,868.08 = 7,048.50 : x
  2. Step 2: Convert to fraction form
    24,578.52/36,868.08 = 7,048.50/x
  3. Step 3: Cross multiply
    24,578.52x = 36,868.08 × 7,048.50
  4. Step 4: Simplify right side
    24,578.52x = 259,864,661.88
  5. Step 5: Solve for x
    x = 259,864,661.88/24,578.52
  6. Step 6: Final answer
    x = 10,572.84

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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.