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Finding the Fourth Proportional to 78,384.78, 117,579.41 and 19,220.40

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Solution

The fourth proportional to 78,384.78, 117,579.41 and 19,220.40 is: 28,831.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,384.78 : 117,579.41 = 19,220.40 : x
  2. Step 2: Convert to fraction form
    78,384.78/117,579.41 = 19,220.40/x
  3. Step 3: Cross multiply
    78,384.78x = 117,579.41 × 19,220.40
  4. Step 4: Simplify right side
    78,384.78x = 2,259,923,195.86
  5. Step 5: Solve for x
    x = 2,259,923,195.86/78,384.78
  6. Step 6: Final answer
    x = 28,831.15

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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.