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Finding the Fourth Proportional to 30,772.88, 46,167.10 and 8,586.25

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Solution

The fourth proportional to 30,772.88, 46,167.10 and 8,586.25 is: 12,881.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,772.88 : 46,167.10 = 8,586.25 : x
  2. Step 2: Convert to fraction form
    30,772.88/46,167.10 = 8,586.25/x
  3. Step 3: Cross multiply
    30,772.88x = 46,167.10 × 8,586.25
  4. Step 4: Simplify right side
    30,772.88x = 396,402,385.18
  5. Step 5: Solve for x
    x = 396,402,385.18/30,772.88
  6. Step 6: Final answer
    x = 12,881.55

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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.