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Finding the Fourth Proportional to 34,178.96, 47,165.16 and 19,274

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Solution

The fourth proportional to 34,178.96, 47,165.16 and 19,274 is: 26,597.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,178.96 : 47,165.16 = 19,274 : x
  2. Step 2: Convert to fraction form
    34,178.96/47,165.16 = 19,274/x
  3. Step 3: Cross multiply
    34,178.96x = 47,165.16 × 19,274
  4. Step 4: Simplify right side
    34,178.96x = 909,061,293.84
  5. Step 5: Solve for x
    x = 909,061,293.84/34,178.96
  6. Step 6: Final answer
    x = 26,597.10

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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.