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Finding the Fourth Proportional to 77,276.70, 115,821.45 and 32,810.10

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Solution

The fourth proportional to 77,276.70, 115,821.45 and 32,810.10 is: 49,175.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,276.70 : 115,821.45 = 32,810.10 : x
  2. Step 2: Convert to fraction form
    77,276.70/115,821.45 = 32,810.10/x
  3. Step 3: Cross multiply
    77,276.70x = 115,821.45 × 32,810.10
  4. Step 4: Simplify right side
    77,276.70x = 3,800,113,356.65
  5. Step 5: Solve for x
    x = 3,800,113,356.65/77,276.70
  6. Step 6: Final answer
    x = 49,175.41

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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.