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Finding the Fourth Proportional to 97,898.70, 146,853.63 and 27,772.50

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Solution

The fourth proportional to 97,898.70, 146,853.63 and 27,772.50 is: 41,660.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,898.70 : 146,853.63 = 27,772.50 : x
  2. Step 2: Convert to fraction form
    97,898.70/146,853.63 = 27,772.50/x
  3. Step 3: Cross multiply
    97,898.70x = 146,853.63 × 27,772.50
  4. Step 4: Simplify right side
    97,898.70x = 4,078,492,439.18
  5. Step 5: Solve for x
    x = 4,078,492,439.18/97,898.70
  6. Step 6: Final answer
    x = 41,660.33

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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.