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Finding the Fourth Proportional to 31,005.88, 46,508.82 and 9,117.88

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Solution

The fourth proportional to 31,005.88, 46,508.82 and 9,117.88 is: 13,676.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,005.88 : 46,508.82 = 9,117.88 : x
  2. Step 2: Convert to fraction form
    31,005.88/46,508.82 = 9,117.88/x
  3. Step 3: Cross multiply
    31,005.88x = 46,508.82 × 9,117.88
  4. Step 4: Simplify right side
    31,005.88x = 424,061,561.57
  5. Step 5: Solve for x
    x = 424,061,561.57/31,005.88
  6. Step 6: Final answer
    x = 13,676.81

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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.