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Finding the Fourth Proportional to 34,717.16, 47,896.80 and 22,787.12

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Solution

The fourth proportional to 34,717.16, 47,896.80 and 22,787.12 is: 31,437.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,717.16 : 47,896.80 = 22,787.12 : x
  2. Step 2: Convert to fraction form
    34,717.16/47,896.80 = 22,787.12/x
  3. Step 3: Cross multiply
    34,717.16x = 47,896.80 × 22,787.12
  4. Step 4: Simplify right side
    34,717.16x = 1,091,430,129.22
  5. Step 5: Solve for x
    x = 1,091,430,129.22/34,717.16
  6. Step 6: Final answer
    x = 31,437.77

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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.