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Finding the Fourth Proportional to 59,224.21, 88,719.09 and 31,102.09

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Solution

The fourth proportional to 59,224.21, 88,719.09 and 31,102.09 is: 46,591.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,224.21 : 88,719.09 = 31,102.09 : x
  2. Step 2: Convert to fraction form
    59,224.21/88,719.09 = 31,102.09/x
  3. Step 3: Cross multiply
    59,224.21x = 88,719.09 × 31,102.09
  4. Step 4: Simplify right side
    59,224.21x = 2,759,349,121.90
  5. Step 5: Solve for x
    x = 2,759,349,121.90/59,224.21
  6. Step 6: Final answer
    x = 46,591.57

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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.