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Finding the Fourth Proportional to 30,772.54, 46,166.59 and 8,585.91

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Solution

The fourth proportional to 30,772.54, 46,166.59 and 8,585.91 is: 12,881.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,772.54 : 46,166.59 = 8,585.91 : x
  2. Step 2: Convert to fraction form
    30,772.54/46,166.59 = 8,585.91/x
  3. Step 3: Cross multiply
    30,772.54x = 46,166.59 × 8,585.91
  4. Step 4: Simplify right side
    30,772.54x = 396,382,024.35
  5. Step 5: Solve for x
    x = 396,382,024.35/30,772.54
  6. Step 6: Final answer
    x = 12,881.03

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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.