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Finding the Fourth Proportional to 31,021.42, 46,531.53 and 8,834.94

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Solution

The fourth proportional to 31,021.42, 46,531.53 and 8,834.94 is: 13,252.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,021.42 : 46,531.53 = 8,834.94 : x
  2. Step 2: Convert to fraction form
    31,021.42/46,531.53 = 8,834.94/x
  3. Step 3: Cross multiply
    31,021.42x = 46,531.53 × 8,834.94
  4. Step 4: Simplify right side
    31,021.42x = 411,103,275.66
  5. Step 5: Solve for x
    x = 411,103,275.66/31,021.42
  6. Step 6: Final answer
    x = 13,252.24

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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.