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Finding the Fourth Proportional to 34,652.16, 47,819.95 and 19,544.78

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Solution

The fourth proportional to 34,652.16, 47,819.95 and 19,544.78 is: 26,971.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,652.16 : 47,819.95 = 19,544.78 : x
  2. Step 2: Convert to fraction form
    34,652.16/47,819.95 = 19,544.78/x
  3. Step 3: Cross multiply
    34,652.16x = 47,819.95 × 19,544.78
  4. Step 4: Simplify right side
    34,652.16x = 934,630,473.05
  5. Step 5: Solve for x
    x = 934,630,473.05/34,652.16
  6. Step 6: Final answer
    x = 26,971.78

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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.