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Finding the Fourth Proportional to 77,295.66, 115,986.62 and 41,756.30

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Solution

The fourth proportional to 77,295.66, 115,986.62 and 41,756.30 is: 62,657.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,295.66 : 115,986.62 = 41,756.30 : x
  2. Step 2: Convert to fraction form
    77,295.66/115,986.62 = 41,756.30/x
  3. Step 3: Cross multiply
    77,295.66x = 115,986.62 × 41,756.30
  4. Step 4: Simplify right side
    77,295.66x = 4,843,172,100.71
  5. Step 5: Solve for x
    x = 4,843,172,100.71/77,295.66
  6. Step 6: Final answer
    x = 62,657.75

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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.