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Finding the Fourth Proportional to 31,946.16, 44,085.17 and 17,410.54

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Solution

The fourth proportional to 31,946.16, 44,085.17 and 17,410.54 is: 24,026.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,946.16 : 44,085.17 = 17,410.54 : x
  2. Step 2: Convert to fraction form
    31,946.16/44,085.17 = 17,410.54/x
  3. Step 3: Cross multiply
    31,946.16x = 44,085.17 × 17,410.54
  4. Step 4: Simplify right side
    31,946.16x = 767,546,615.69
  5. Step 5: Solve for x
    x = 767,546,615.69/31,946.16
  6. Step 6: Final answer
    x = 24,026.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.