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Finding the Fourth Proportional to 45,419.98, 62,646.06 and 31,277.38

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Solution

The fourth proportional to 45,419.98, 62,646.06 and 31,277.38 is: 43,139.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,419.98 : 62,646.06 = 31,277.38 : x
  2. Step 2: Convert to fraction form
    45,419.98/62,646.06 = 31,277.38/x
  3. Step 3: Cross multiply
    45,419.98x = 62,646.06 × 31,277.38
  4. Step 4: Simplify right side
    45,419.98x = 1,959,404,624.12
  5. Step 5: Solve for x
    x = 1,959,404,624.12/45,419.98
  6. Step 6: Final answer
    x = 43,139.71

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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.