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Finding the Fourth Proportional to 34,186.32, 47,178.44 and 19,282

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Solution

The fourth proportional to 34,186.32, 47,178.44 and 19,282 is: 26,609.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,186.32 : 47,178.44 = 19,282 : x
  2. Step 2: Convert to fraction form
    34,186.32/47,178.44 = 19,282/x
  3. Step 3: Cross multiply
    34,186.32x = 47,178.44 × 19,282
  4. Step 4: Simplify right side
    34,186.32x = 909,694,680.08
  5. Step 5: Solve for x
    x = 909,694,680.08/34,186.32
  6. Step 6: Final answer
    x = 26,609.90

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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.