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Finding the Fourth Proportional to 98,473.62, 147,679.44 and 31,898.31

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Solution

The fourth proportional to 98,473.62, 147,679.44 and 31,898.31 is: 47,837.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,473.62 : 147,679.44 = 31,898.31 : x
  2. Step 2: Convert to fraction form
    98,473.62/147,679.44 = 31,898.31/x
  3. Step 3: Cross multiply
    98,473.62x = 147,679.44 × 31,898.31
  4. Step 4: Simplify right side
    98,473.62x = 4,710,724,557.75
  5. Step 5: Solve for x
    x = 4,710,724,557.75/98,473.62
  6. Step 6: Final answer
    x = 47,837.43

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Why These Related Problems?

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