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Finding the Fourth Proportional to 30,876.42, 46,314.32 and 8,689.80

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Solution

The fourth proportional to 30,876.42, 46,314.32 and 8,689.80 is: 13,034.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,876.42 : 46,314.32 = 8,689.80 : x
  2. Step 2: Convert to fraction form
    30,876.42/46,314.32 = 8,689.80/x
  3. Step 3: Cross multiply
    30,876.42x = 46,314.32 × 8,689.80
  4. Step 4: Simplify right side
    30,876.42x = 402,462,134.49
  5. Step 5: Solve for x
    x = 402,462,134.49/30,876.42
  6. Step 6: Final answer
    x = 13,034.61

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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.