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Finding the Fourth Proportional to 31,084.70, 46,630.32 and 13,317.16

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Solution

The fourth proportional to 31,084.70, 46,630.32 and 13,317.16 is: 19,977.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,084.70 : 46,630.32 = 13,317.16 : x
  2. Step 2: Convert to fraction form
    31,084.70/46,630.32 = 13,317.16/x
  3. Step 3: Cross multiply
    31,084.70x = 46,630.32 × 13,317.16
  4. Step 4: Simplify right side
    31,084.70x = 620,983,432.29
  5. Step 5: Solve for x
    x = 620,983,432.29/31,084.70
  6. Step 6: Final answer
    x = 19,977.14

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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.