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Finding the Fourth Proportional to 73,495.84, 110,264.34 and 23,578.84

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Solution

The fourth proportional to 73,495.84, 110,264.34 and 23,578.84 is: 35,374.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,495.84 : 110,264.34 = 23,578.84 : x
  2. Step 2: Convert to fraction form
    73,495.84/110,264.34 = 23,578.84/x
  3. Step 3: Cross multiply
    73,495.84x = 110,264.34 × 23,578.84
  4. Step 4: Simplify right side
    73,495.84x = 2,599,905,230.57
  5. Step 5: Solve for x
    x = 2,599,905,230.57/73,495.84
  6. Step 6: Final answer
    x = 35,374.86

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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.