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Finding the Fourth Proportional to 34,085.76, 47,026.17 and 19,737.76

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Solution

The fourth proportional to 34,085.76, 47,026.17 and 19,737.76 is: 27,231.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,085.76 : 47,026.17 = 19,737.76 : x
  2. Step 2: Convert to fraction form
    34,085.76/47,026.17 = 19,737.76/x
  3. Step 3: Cross multiply
    34,085.76x = 47,026.17 × 19,737.76
  4. Step 4: Simplify right side
    34,085.76x = 928,191,257.18
  5. Step 5: Solve for x
    x = 928,191,257.18/34,085.76
  6. Step 6: Final answer
    x = 27,231.06

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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.