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Finding the Fourth Proportional to 97,858.34, 146,787.52 and 27,737.66

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Solution

The fourth proportional to 97,858.34, 146,787.52 and 27,737.66 is: 41,606.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,858.34 : 146,787.52 = 27,737.66 : x
  2. Step 2: Convert to fraction form
    97,858.34/146,787.52 = 27,737.66/x
  3. Step 3: Cross multiply
    97,858.34x = 146,787.52 × 27,737.66
  4. Step 4: Simplify right side
    97,858.34x = 4,071,542,322.00
  5. Step 5: Solve for x
    x = 4,071,542,322.00/97,858.34
  6. Step 6: Final answer
    x = 41,606.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.