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Finding the Fourth Proportional to 35,812.14, 53,719.26 and 17,094.14

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Solution

The fourth proportional to 35,812.14, 53,719.26 and 17,094.14 is: 25,641.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,812.14 : 53,719.26 = 17,094.14 : x
  2. Step 2: Convert to fraction form
    35,812.14/53,719.26 = 17,094.14/x
  3. Step 3: Cross multiply
    35,812.14x = 53,719.26 × 17,094.14
  4. Step 4: Simplify right side
    35,812.14x = 918,284,551.14
  5. Step 5: Solve for x
    x = 918,284,551.14/35,812.14
  6. Step 6: Final answer
    x = 25,641.71

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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.