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Finding the Fourth Proportional to 30,774.77, 46,169.92 and 8,588.13

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Solution

The fourth proportional to 30,774.77, 46,169.92 and 8,588.13 is: 12,884.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,774.77 : 46,169.92 = 8,588.13 : x
  2. Step 2: Convert to fraction form
    30,774.77/46,169.92 = 8,588.13/x
  3. Step 3: Cross multiply
    30,774.77x = 46,169.92 × 8,588.13
  4. Step 4: Simplify right side
    30,774.77x = 396,513,044.20
  5. Step 5: Solve for x
    x = 396,513,044.20/30,774.77
  6. Step 6: Final answer
    x = 12,884.35

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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.