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Finding the Fourth Proportional to 34,258.17, 51,314.34 and 19,459.47

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Solution

The fourth proportional to 34,258.17, 51,314.34 and 19,459.47 is: 29,147.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,258.17 : 51,314.34 = 19,459.47 : x
  2. Step 2: Convert to fraction form
    34,258.17/51,314.34 = 19,459.47/x
  3. Step 3: Cross multiply
    34,258.17x = 51,314.34 × 19,459.47
  4. Step 4: Simplify right side
    34,258.17x = 998,550,125.20
  5. Step 5: Solve for x
    x = 998,550,125.20/34,258.17
  6. Step 6: Final answer
    x = 29,147.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.