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Finding the Fourth Proportional to 31,065.06, 46,594.35 and 8,877

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Solution

The fourth proportional to 31,065.06, 46,594.35 and 8,877 is: 13,314.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,065.06 : 46,594.35 = 8,877 : x
  2. Step 2: Convert to fraction form
    31,065.06/46,594.35 = 8,877/x
  3. Step 3: Cross multiply
    31,065.06x = 46,594.35 × 8,877
  4. Step 4: Simplify right side
    31,065.06x = 413,618,044.95
  5. Step 5: Solve for x
    x = 413,618,044.95/31,065.06
  6. Step 6: Final answer
    x = 13,314.57

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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.