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Finding the Fourth Proportional to 35,906.52, 53,824.14 and 18,337.08

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Solution

The fourth proportional to 35,906.52, 53,824.14 and 18,337.08 is: 27,487.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,906.52 : 53,824.14 = 18,337.08 : x
  2. Step 2: Convert to fraction form
    35,906.52/53,824.14 = 18,337.08/x
  3. Step 3: Cross multiply
    35,906.52x = 53,824.14 × 18,337.08
  4. Step 4: Simplify right side
    35,906.52x = 986,977,561.11
  5. Step 5: Solve for x
    x = 986,977,561.11/35,906.52
  6. Step 6: Final answer
    x = 27,487.42

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1.5x scale

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.