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Finding the Fourth Proportional to 77,240.80, 115,958.40 and 41,730.40

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Solution

The fourth proportional to 77,240.80, 115,958.40 and 41,730.40 is: 62,648.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,240.80 : 115,958.40 = 41,730.40 : x
  2. Step 2: Convert to fraction form
    77,240.80/115,958.40 = 41,730.40/x
  3. Step 3: Cross multiply
    77,240.80x = 115,958.40 × 41,730.40
  4. Step 4: Simplify right side
    77,240.80x = 4,838,990,415.36
  5. Step 5: Solve for x
    x = 4,838,990,415.36/77,240.80
  6. Step 6: Final answer
    x = 62,648.11

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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.