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Finding the Fourth Proportional to 35,414.40, 53,150.40 and 34,262.40

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Solution

The fourth proportional to 35,414.40, 53,150.40 and 34,262.40 is: 51,421.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,414.40 : 53,150.40 = 34,262.40 : x
  2. Step 2: Convert to fraction form
    35,414.40/53,150.40 = 34,262.40/x
  3. Step 3: Cross multiply
    35,414.40x = 53,150.40 × 34,262.40
  4. Step 4: Simplify right side
    35,414.40x = 1,821,060,264.96
  5. Step 5: Solve for x
    x = 1,821,060,264.96/35,414.40
  6. Step 6: Final answer
    x = 51,421.46

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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.