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Finding the Fourth Proportional to 35,880.88, 53,782.44 and 17,374

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Solution

The fourth proportional to 35,880.88, 53,782.44 and 17,374 is: 26,042.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,880.88 : 53,782.44 = 17,374 : x
  2. Step 2: Convert to fraction form
    35,880.88/53,782.44 = 17,374/x
  3. Step 3: Cross multiply
    35,880.88x = 53,782.44 × 17,374
  4. Step 4: Simplify right side
    35,880.88x = 934,416,112.56
  5. Step 5: Solve for x
    x = 934,416,112.56/35,880.88
  6. Step 6: Final answer
    x = 26,042.17

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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.