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Finding the Fourth Proportional to 77,346.36, 115,789.77 and 42,179.40

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Solution

The fourth proportional to 77,346.36, 115,789.77 and 42,179.40 is: 63,143.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,346.36 : 115,789.77 = 42,179.40 : x
  2. Step 2: Convert to fraction form
    77,346.36/115,789.77 = 42,179.40/x
  3. Step 3: Cross multiply
    77,346.36x = 115,789.77 × 42,179.40
  4. Step 4: Simplify right side
    77,346.36x = 4,883,943,024.74
  5. Step 5: Solve for x
    x = 4,883,943,024.74/77,346.36
  6. Step 6: Final answer
    x = 63,143.80

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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.