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Finding the Fourth Proportional to 35,507.50, 53,233.17 and 17,729.02

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Solution

The fourth proportional to 35,507.50, 53,233.17 and 17,729.02 is: 26,579.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,507.50 : 53,233.17 = 17,729.02 : x
  2. Step 2: Convert to fraction form
    35,507.50/53,233.17 = 17,729.02/x
  3. Step 3: Cross multiply
    35,507.50x = 53,233.17 × 17,729.02
  4. Step 4: Simplify right side
    35,507.50x = 943,771,935.59
  5. Step 5: Solve for x
    x = 943,771,935.59/35,507.50
  6. Step 6: Final answer
    x = 26,579.51

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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.