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Finding the Fourth Proportional to 77,324.65, 106,714.89 and 45,057.52

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Solution

The fourth proportional to 77,324.65, 106,714.89 and 45,057.52 is: 62,183.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,324.65 : 106,714.89 = 45,057.52 : x
  2. Step 2: Convert to fraction form
    77,324.65/106,714.89 = 45,057.52/x
  3. Step 3: Cross multiply
    77,324.65x = 106,714.89 × 45,057.52
  4. Step 4: Simplify right side
    77,324.65x = 4,808,307,950.32
  5. Step 5: Solve for x
    x = 4,808,307,950.32/77,324.65
  6. Step 6: Final answer
    x = 62,183.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.