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Finding the Fourth Proportional to 78,004.80, 117,007.20 and 42,575.40

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Solution

The fourth proportional to 78,004.80, 117,007.20 and 42,575.40 is: 63,863.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,004.80 : 117,007.20 = 42,575.40 : x
  2. Step 2: Convert to fraction form
    78,004.80/117,007.20 = 42,575.40/x
  3. Step 3: Cross multiply
    78,004.80x = 117,007.20 × 42,575.40
  4. Step 4: Simplify right side
    78,004.80x = 4,981,628,342.88
  5. Step 5: Solve for x
    x = 4,981,628,342.88/78,004.80
  6. Step 6: Final answer
    x = 63,863.10

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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.