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Finding the Fourth Proportional to 101,583.67, 152,346.08 and 30,503.44

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Solution

The fourth proportional to 101,583.67, 152,346.08 and 30,503.44 is: 45,746.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,583.67 : 152,346.08 = 30,503.44 : x
  2. Step 2: Convert to fraction form
    101,583.67/152,346.08 = 30,503.44/x
  3. Step 3: Cross multiply
    101,583.67x = 152,346.08 × 30,503.44
  4. Step 4: Simplify right side
    101,583.67x = 4,647,078,920.26
  5. Step 5: Solve for x
    x = 4,647,078,920.26/101,583.67
  6. Step 6: Final answer
    x = 45,746.32

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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.