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Finding the Fourth Proportional to 30,778.01, 46,158.80 and 8,587.49

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Solution

The fourth proportional to 30,778.01, 46,158.80 and 8,587.49 is: 12,878.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,778.01 : 46,158.80 = 8,587.49 : x
  2. Step 2: Convert to fraction form
    30,778.01/46,158.80 = 8,587.49/x
  3. Step 3: Cross multiply
    30,778.01x = 46,158.80 × 8,587.49
  4. Step 4: Simplify right side
    30,778.01x = 396,387,959.68
  5. Step 5: Solve for x
    x = 396,387,959.68/30,778.01
  6. Step 6: Final answer
    x = 12,878.93

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