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Finding the Fourth Proportional to 59,938, 89,911.32 and 23,002

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Solution

The fourth proportional to 59,938, 89,911.32 and 23,002 is: 34,504.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,938 : 89,911.32 = 23,002 : x
  2. Step 2: Convert to fraction form
    59,938/89,911.32 = 23,002/x
  3. Step 3: Cross multiply
    59,938x = 89,911.32 × 23,002
  4. Step 4: Simplify right side
    59,938x = 2,068,140,182.64
  5. Step 5: Solve for x
    x = 2,068,140,182.64/59,938
  6. Step 6: Final answer
    x = 34,504.66

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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.