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Finding the Fourth Proportional to 24,494.79, 36,575.83 and 23,830.49

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Solution

The fourth proportional to 24,494.79, 36,575.83 and 23,830.49 is: 35,583.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,494.79 : 36,575.83 = 23,830.49 : x
  2. Step 2: Convert to fraction form
    24,494.79/36,575.83 = 23,830.49/x
  3. Step 3: Cross multiply
    24,494.79x = 36,575.83 × 23,830.49
  4. Step 4: Simplify right side
    24,494.79x = 871,619,951.06
  5. Step 5: Solve for x
    x = 871,619,951.06/24,494.79
  6. Step 6: Final answer
    x = 35,583.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.