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Finding the Fourth Proportional to 31,106.96, 46,646.38 and 8,915.24

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Solution

The fourth proportional to 31,106.96, 46,646.38 and 8,915.24 is: 13,368.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,106.96 : 46,646.38 = 8,915.24 : x
  2. Step 2: Convert to fraction form
    31,106.96/46,646.38 = 8,915.24/x
  3. Step 3: Cross multiply
    31,106.96x = 46,646.38 × 8,915.24
  4. Step 4: Simplify right side
    31,106.96x = 415,863,672.83
  5. Step 5: Solve for x
    x = 415,863,672.83/31,106.96
  6. Step 6: Final answer
    x = 13,368.83

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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.