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Finding the Fourth Proportional to 31,013.60, 46,516.80 and 8,830.40

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Solution

The fourth proportional to 31,013.60, 46,516.80 and 8,830.40 is: 13,244.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,013.60 : 46,516.80 = 8,830.40 : x
  2. Step 2: Convert to fraction form
    31,013.60/46,516.80 = 8,830.40/x
  3. Step 3: Cross multiply
    31,013.60x = 46,516.80 × 8,830.40
  4. Step 4: Simplify right side
    31,013.60x = 410,761,950.72
  5. Step 5: Solve for x
    x = 410,761,950.72/31,013.60
  6. Step 6: Final answer
    x = 13,244.57

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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.