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Finding the Fourth Proportional to 35,446.54, 53,119.64 and 19,658.52

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Solution

The fourth proportional to 35,446.54, 53,119.64 and 19,658.52 is: 29,459.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,446.54 : 53,119.64 = 19,658.52 : x
  2. Step 2: Convert to fraction form
    35,446.54/53,119.64 = 19,658.52/x
  3. Step 3: Cross multiply
    35,446.54x = 53,119.64 × 19,658.52
  4. Step 4: Simplify right side
    35,446.54x = 1,044,253,505.33
  5. Step 5: Solve for x
    x = 1,044,253,505.33/35,446.54
  6. Step 6: Final answer
    x = 29,459.96

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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.