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Finding the Fourth Proportional to 59,683.84, 89,473.92 and 35,008

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Solution

The fourth proportional to 59,683.84, 89,473.92 and 35,008 is: 52,481.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,683.84 : 89,473.92 = 35,008 : x
  2. Step 2: Convert to fraction form
    59,683.84/89,473.92 = 35,008/x
  3. Step 3: Cross multiply
    59,683.84x = 89,473.92 × 35,008
  4. Step 4: Simplify right side
    59,683.84x = 3,132,302,991.36
  5. Step 5: Solve for x
    x = 3,132,302,991.36/59,683.84
  6. Step 6: Final answer
    x = 52,481.59

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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.