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Finding the Fourth Proportional to 35,849, 53,792.94 and 17,381

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Solution

The fourth proportional to 35,849, 53,792.94 and 17,381 is: 26,080.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,849 : 53,792.94 = 17,381 : x
  2. Step 2: Convert to fraction form
    35,849/53,792.94 = 17,381/x
  3. Step 3: Cross multiply
    35,849x = 53,792.94 × 17,381
  4. Step 4: Simplify right side
    35,849x = 934,975,090.14
  5. Step 5: Solve for x
    x = 934,975,090.14/35,849
  6. Step 6: Final answer
    x = 26,080.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.