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Finding the Fourth Proportional to 31,095.70, 46,657.22 and 11,377.19

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Solution

The fourth proportional to 31,095.70, 46,657.22 and 11,377.19 is: 17,070.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,095.70 : 46,657.22 = 11,377.19 : x
  2. Step 2: Convert to fraction form
    31,095.70/46,657.22 = 11,377.19/x
  3. Step 3: Cross multiply
    31,095.70x = 46,657.22 × 11,377.19
  4. Step 4: Simplify right side
    31,095.70x = 530,828,116.57
  5. Step 5: Solve for x
    x = 530,828,116.57/31,095.70
  6. Step 6: Final answer
    x = 17,070.79

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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.