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Finding the Fourth Proportional to 24,045.78, 36,072.55 and 7,405.81

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Solution

The fourth proportional to 24,045.78, 36,072.55 and 7,405.81 is: 11,109.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,045.78 : 36,072.55 = 7,405.81 : x
  2. Step 2: Convert to fraction form
    24,045.78/36,072.55 = 7,405.81/x
  3. Step 3: Cross multiply
    24,045.78x = 36,072.55 × 7,405.81
  4. Step 4: Simplify right side
    24,045.78x = 267,146,400.49
  5. Step 5: Solve for x
    x = 267,146,400.49/24,045.78
  6. Step 6: Final answer
    x = 11,109.91

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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.