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Finding the Fourth Proportional to 34,419.89, 47,501.90 and 19,314

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Solution

The fourth proportional to 34,419.89, 47,501.90 and 19,314 is: 26,654.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,419.89 : 47,501.90 = 19,314 : x
  2. Step 2: Convert to fraction form
    34,419.89/47,501.90 = 19,314/x
  3. Step 3: Cross multiply
    34,419.89x = 47,501.90 × 19,314
  4. Step 4: Simplify right side
    34,419.89x = 917,451,600.03
  5. Step 5: Solve for x
    x = 917,451,600.03/34,419.89
  6. Step 6: Final answer
    x = 26,654.70

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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.