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Finding the Fourth Proportional to 31,056.32, 46,591.68 and 8,870

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Solution

The fourth proportional to 31,056.32, 46,591.68 and 8,870 is: 13,307.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,056.32 : 46,591.68 = 8,870 : x
  2. Step 2: Convert to fraction form
    31,056.32/46,591.68 = 8,870/x
  3. Step 3: Cross multiply
    31,056.32x = 46,591.68 × 8,870
  4. Step 4: Simplify right side
    31,056.32x = 413,268,201.60
  5. Step 5: Solve for x
    x = 413,268,201.60/31,056.32
  6. Step 6: Final answer
    x = 13,307.06

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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.