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Finding the Fourth Proportional to 31,021.17, 46,539.04 and 8,834.86

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Solution

The fourth proportional to 31,021.17, 46,539.04 and 8,834.86 is: 13,254.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,021.17 : 46,539.04 = 8,834.86 : x
  2. Step 2: Convert to fraction form
    31,021.17/46,539.04 = 8,834.86/x
  3. Step 3: Cross multiply
    31,021.17x = 46,539.04 × 8,834.86
  4. Step 4: Simplify right side
    31,021.17x = 411,165,902.93
  5. Step 5: Solve for x
    x = 411,165,902.93/31,021.17
  6. Step 6: Final answer
    x = 13,254.36

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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.