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Finding the Fourth Proportional to 79,483.44, 119,242.44 and 24,078

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Solution

The fourth proportional to 79,483.44, 119,242.44 and 24,078 is: 36,122.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,483.44 : 119,242.44 = 24,078 : x
  2. Step 2: Convert to fraction form
    79,483.44/119,242.44 = 24,078/x
  3. Step 3: Cross multiply
    79,483.44x = 119,242.44 × 24,078
  4. Step 4: Simplify right side
    79,483.44x = 2,871,119,470.32
  5. Step 5: Solve for x
    x = 2,871,119,470.32/79,483.44
  6. Step 6: Final answer
    x = 36,122.23

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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.