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Finding the Fourth Proportional to 48,776.94, 67,312.02 and 27,556.20

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Solution

The fourth proportional to 48,776.94, 67,312.02 and 27,556.20 is: 38,027.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,776.94 : 67,312.02 = 27,556.20 : x
  2. Step 2: Convert to fraction form
    48,776.94/67,312.02 = 27,556.20/x
  3. Step 3: Cross multiply
    48,776.94x = 67,312.02 × 27,556.20
  4. Step 4: Simplify right side
    48,776.94x = 1,854,863,485.52
  5. Step 5: Solve for x
    x = 1,854,863,485.52/48,776.94
  6. Step 6: Final answer
    x = 38,027.47

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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.