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Finding the Fourth Proportional to 53,586.38, 73,932.19 and 30,922.38

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Solution

The fourth proportional to 53,586.38, 73,932.19 and 30,922.38 is: 42,663.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,586.38 : 73,932.19 = 30,922.38 : x
  2. Step 2: Convert to fraction form
    53,586.38/73,932.19 = 30,922.38/x
  3. Step 3: Cross multiply
    53,586.38x = 73,932.19 × 30,922.38
  4. Step 4: Simplify right side
    53,586.38x = 2,286,159,196.11
  5. Step 5: Solve for x
    x = 2,286,159,196.11/53,586.38
  6. Step 6: Final answer
    x = 42,663.06

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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.