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Finding the Fourth Proportional to 48,442.72, 66,852.94 and 27,221.94

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Solution

The fourth proportional to 48,442.72, 66,852.94 and 27,221.94 is: 37,567.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,442.72 : 66,852.94 = 27,221.94 : x
  2. Step 2: Convert to fraction form
    48,442.72/66,852.94 = 27,221.94/x
  3. Step 3: Cross multiply
    48,442.72x = 66,852.94 × 27,221.94
  4. Step 4: Simplify right side
    48,442.72x = 1,819,866,721.50
  5. Step 5: Solve for x
    x = 1,819,866,721.50/48,442.72
  6. Step 6: Final answer
    x = 37,567.39

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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.