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Finding the Fourth Proportional to 89,693, 134,521.14 and 33,522.74

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Solution

The fourth proportional to 89,693, 134,521.14 and 33,522.74 is: 50,277.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,693 : 134,521.14 = 33,522.74 : x
  2. Step 2: Convert to fraction form
    89,693/134,521.14 = 33,522.74/x
  3. Step 3: Cross multiply
    89,693x = 134,521.14 × 33,522.74
  4. Step 4: Simplify right side
    89,693x = 4,509,517,200.72
  5. Step 5: Solve for x
    x = 4,509,517,200.72/89,693
  6. Step 6: Final answer
    x = 50,277.25

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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.