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Finding the Fourth Proportional to 78,392.78, 117,591.40 and 19,228.40

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Solution

The fourth proportional to 78,392.78, 117,591.40 and 19,228.40 is: 28,843.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,392.78 : 117,591.40 = 19,228.40 : x
  2. Step 2: Convert to fraction form
    78,392.78/117,591.40 = 19,228.40/x
  3. Step 3: Cross multiply
    78,392.78x = 117,591.40 × 19,228.40
  4. Step 4: Simplify right side
    78,392.78x = 2,261,094,475.76
  5. Step 5: Solve for x
    x = 2,261,094,475.76/78,392.78
  6. Step 6: Final answer
    x = 28,843.15

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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.