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Finding the Fourth Proportional to 31,117.66, 46,682.46 and 17,070

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Solution

The fourth proportional to 31,117.66, 46,682.46 and 17,070 is: 25,608.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,117.66 : 46,682.46 = 17,070 : x
  2. Step 2: Convert to fraction form
    31,117.66/46,682.46 = 17,070/x
  3. Step 3: Cross multiply
    31,117.66x = 46,682.46 × 17,070
  4. Step 4: Simplify right side
    31,117.66x = 796,869,592.20
  5. Step 5: Solve for x
    x = 796,869,592.20/31,117.66
  6. Step 6: Final answer
    x = 25,608.27

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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.