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Finding the Fourth Proportional to 48,789.16, 67,328.16 and 27,567.98

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Solution

The fourth proportional to 48,789.16, 67,328.16 and 27,567.98 is: 38,043.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,789.16 : 67,328.16 = 27,567.98 : x
  2. Step 2: Convert to fraction form
    48,789.16/67,328.16 = 27,567.98/x
  3. Step 3: Cross multiply
    48,789.16x = 67,328.16 × 27,567.98
  4. Step 4: Simplify right side
    48,789.16x = 1,856,101,368.32
  5. Step 5: Solve for x
    x = 1,856,101,368.32/48,789.16
  6. Step 6: Final answer
    x = 38,043.31

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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.