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Finding the Fourth Proportional to 35,751.44, 53,557.40 and 23,402

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Solution

The fourth proportional to 35,751.44, 53,557.40 and 23,402 is: 35,057.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,751.44 : 53,557.40 = 23,402 : x
  2. Step 2: Convert to fraction form
    35,751.44/53,557.40 = 23,402/x
  3. Step 3: Cross multiply
    35,751.44x = 53,557.40 × 23,402
  4. Step 4: Simplify right side
    35,751.44x = 1,253,350,274.80
  5. Step 5: Solve for x
    x = 1,253,350,274.80/35,751.44
  6. Step 6: Final answer
    x = 35,057.34

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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.