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Finding the Fourth Proportional to 59,944, 89,920.32 and 23,008

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Solution

The fourth proportional to 59,944, 89,920.32 and 23,008 is: 34,513.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,944 : 89,920.32 = 23,008 : x
  2. Step 2: Convert to fraction form
    59,944/89,920.32 = 23,008/x
  3. Step 3: Cross multiply
    59,944x = 89,920.32 × 23,008
  4. Step 4: Simplify right side
    59,944x = 2,068,886,722.56
  5. Step 5: Solve for x
    x = 2,068,886,722.56/59,944
  6. Step 6: Final answer
    x = 34,513.66

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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.