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Finding the Fourth Proportional to 30,295.77, 45,445.34 and 9,236.50

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Solution

The fourth proportional to 30,295.77, 45,445.34 and 9,236.50 is: 13,855.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,295.77 : 45,445.34 = 9,236.50 : x
  2. Step 2: Convert to fraction form
    30,295.77/45,445.34 = 9,236.50/x
  3. Step 3: Cross multiply
    30,295.77x = 45,445.34 × 9,236.50
  4. Step 4: Simplify right side
    30,295.77x = 419,755,893.53
  5. Step 5: Solve for x
    x = 419,755,893.53/30,295.77
  6. Step 6: Final answer
    x = 13,855.27

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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.