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Finding the Fourth Proportional to 59,630.48, 89,457.06 and 20,177

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Solution

The fourth proportional to 59,630.48, 89,457.06 and 20,177 is: 30,269.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,630.48 : 89,457.06 = 20,177 : x
  2. Step 2: Convert to fraction form
    59,630.48/89,457.06 = 20,177/x
  3. Step 3: Cross multiply
    59,630.48x = 89,457.06 × 20,177
  4. Step 4: Simplify right side
    59,630.48x = 1,804,975,099.62
  5. Step 5: Solve for x
    x = 1,804,975,099.62/59,630.48
  6. Step 6: Final answer
    x = 30,269.34

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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.