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Finding the Fourth Proportional to 77,025.65, 106,238.53 and 48,704

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Solution

The fourth proportional to 77,025.65, 106,238.53 and 48,704 is: 67,175.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,025.65 : 106,238.53 = 48,704 : x
  2. Step 2: Convert to fraction form
    77,025.65/106,238.53 = 48,704/x
  3. Step 3: Cross multiply
    77,025.65x = 106,238.53 × 48,704
  4. Step 4: Simplify right side
    77,025.65x = 5,174,241,365.12
  5. Step 5: Solve for x
    x = 5,174,241,365.12/77,025.65
  6. Step 6: Final answer
    x = 67,175.56

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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.