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Finding the Fourth Proportional to 59,940, 89,914.32 and 23,004

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Solution

The fourth proportional to 59,940, 89,914.32 and 23,004 is: 34,507.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,940 : 89,914.32 = 23,004 : x
  2. Step 2: Convert to fraction form
    59,940/89,914.32 = 23,004/x
  3. Step 3: Cross multiply
    59,940x = 89,914.32 × 23,004
  4. Step 4: Simplify right side
    59,940x = 2,068,389,017.28
  5. Step 5: Solve for x
    x = 2,068,389,017.28/59,940
  6. Step 6: Final answer
    x = 34,507.66

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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.