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Finding the Fourth Proportional to 34,434, 47,524.68 and 19,538.64

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Solution

The fourth proportional to 34,434, 47,524.68 and 19,538.64 is: 26,966.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,434 : 47,524.68 = 19,538.64 : x
  2. Step 2: Convert to fraction form
    34,434/47,524.68 = 19,538.64/x
  3. Step 3: Cross multiply
    34,434x = 47,524.68 × 19,538.64
  4. Step 4: Simplify right side
    34,434x = 928,567,613.64
  5. Step 5: Solve for x
    x = 928,567,613.64/34,434
  6. Step 6: Final answer
    x = 26,966.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.