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Finding the Fourth Proportional to 92,048.25, 138,074.06 and 28,866.96

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Solution

The fourth proportional to 92,048.25, 138,074.06 and 28,866.96 is: 43,300.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,048.25 : 138,074.06 = 28,866.96 : x
  2. Step 2: Convert to fraction form
    92,048.25/138,074.06 = 28,866.96/x
  3. Step 3: Cross multiply
    92,048.25x = 138,074.06 × 28,866.96
  4. Step 4: Simplify right side
    92,048.25x = 3,985,778,222.72
  5. Step 5: Solve for x
    x = 3,985,778,222.72/92,048.25
  6. Step 6: Final answer
    x = 43,300.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.