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Finding the Fourth Proportional to 33,501.84, 46,232.34 and 18,188.40

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Solution

The fourth proportional to 33,501.84, 46,232.34 and 18,188.40 is: 25,099.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,501.84 : 46,232.34 = 18,188.40 : x
  2. Step 2: Convert to fraction form
    33,501.84/46,232.34 = 18,188.40/x
  3. Step 3: Cross multiply
    33,501.84x = 46,232.34 × 18,188.40
  4. Step 4: Simplify right side
    33,501.84x = 840,892,292.86
  5. Step 5: Solve for x
    x = 840,892,292.86/33,501.84
  6. Step 6: Final answer
    x = 25,099.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.