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Finding the Fourth Proportional to 34,462.12, 47,557.56 and 19,354.78

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Solution

The fourth proportional to 34,462.12, 47,557.56 and 19,354.78 is: 26,709.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,462.12 : 47,557.56 = 19,354.78 : x
  2. Step 2: Convert to fraction form
    34,462.12/47,557.56 = 19,354.78/x
  3. Step 3: Cross multiply
    34,462.12x = 47,557.56 × 19,354.78
  4. Step 4: Simplify right side
    34,462.12x = 920,466,111.14
  5. Step 5: Solve for x
    x = 920,466,111.14/34,462.12
  6. Step 6: Final answer
    x = 26,709.50

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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.