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Finding the Fourth Proportional to 35,782.43, 53,710.90 and 26,433

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Solution

The fourth proportional to 35,782.43, 53,710.90 and 26,433 is: 39,677.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,782.43 : 53,710.90 = 26,433 : x
  2. Step 2: Convert to fraction form
    35,782.43/53,710.90 = 26,433/x
  3. Step 3: Cross multiply
    35,782.43x = 53,710.90 × 26,433
  4. Step 4: Simplify right side
    35,782.43x = 1,419,740,153.62
  5. Step 5: Solve for x
    x = 1,419,740,153.62/35,782.43
  6. Step 6: Final answer
    x = 39,677.02

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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.