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Finding the Fourth Proportional to 54,362.41, 75,020.93 and 31,700.77

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Solution

The fourth proportional to 54,362.41, 75,020.93 and 31,700.77 is: 43,747.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,362.41 : 75,020.93 = 31,700.77 : x
  2. Step 2: Convert to fraction form
    54,362.41/75,020.93 = 31,700.77/x
  3. Step 3: Cross multiply
    54,362.41x = 75,020.93 × 31,700.77
  4. Step 4: Simplify right side
    54,362.41x = 2,378,221,247.12
  5. Step 5: Solve for x
    x = 2,378,221,247.12/54,362.41
  6. Step 6: Final answer
    x = 43,747.53

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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.