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Finding the Fourth Proportional to 45,150.38, 62,308.40 and 27,019.74

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Solution

The fourth proportional to 45,150.38, 62,308.40 and 27,019.74 is: 37,287.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,150.38 : 62,308.40 = 27,019.74 : x
  2. Step 2: Convert to fraction form
    45,150.38/62,308.40 = 27,019.74/x
  3. Step 3: Cross multiply
    45,150.38x = 62,308.40 × 27,019.74
  4. Step 4: Simplify right side
    45,150.38x = 1,683,556,767.82
  5. Step 5: Solve for x
    x = 1,683,556,767.82/45,150.38
  6. Step 6: Final answer
    x = 37,287.77

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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.