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Finding the Fourth Proportional to 59,135, 88,741.38 and 22,199

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Solution

The fourth proportional to 59,135, 88,741.38 and 22,199 is: 33,313.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,135 : 88,741.38 = 22,199 : x
  2. Step 2: Convert to fraction form
    59,135/88,741.38 = 22,199/x
  3. Step 3: Cross multiply
    59,135x = 88,741.38 × 22,199
  4. Step 4: Simplify right side
    59,135x = 1,969,969,894.62
  5. Step 5: Solve for x
    x = 1,969,969,894.62/59,135
  6. Step 6: Final answer
    x = 33,313.10

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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.