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Finding the Fourth Proportional to 75,503.92, 113,269.55 and 31,106

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Solution

The fourth proportional to 75,503.92, 113,269.55 and 31,106 is: 46,664.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,503.92 : 113,269.55 = 31,106 : x
  2. Step 2: Convert to fraction form
    75,503.92/113,269.55 = 31,106/x
  3. Step 3: Cross multiply
    75,503.92x = 113,269.55 × 31,106
  4. Step 4: Simplify right side
    75,503.92x = 3,523,362,622.30
  5. Step 5: Solve for x
    x = 3,523,362,622.30/75,503.92
  6. Step 6: Final answer
    x = 46,664.63

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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.