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Finding the Fourth Proportional to 34,105, 47,064.90 and 19,952.68

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Solution

The fourth proportional to 34,105, 47,064.90 and 19,952.68 is: 27,534.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,105 : 47,064.90 = 19,952.68 : x
  2. Step 2: Convert to fraction form
    34,105/47,064.90 = 19,952.68/x
  3. Step 3: Cross multiply
    34,105x = 47,064.90 × 19,952.68
  4. Step 4: Simplify right side
    34,105x = 939,070,888.93
  5. Step 5: Solve for x
    x = 939,070,888.93/34,105
  6. Step 6: Final answer
    x = 27,534.70

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