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Finding the Fourth Proportional to 32,005.49, 44,153.50 and 30,523.19

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Solution

The fourth proportional to 32,005.49, 44,153.50 and 30,523.19 is: 42,108.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,005.49 : 44,153.50 = 30,523.19 : x
  2. Step 2: Convert to fraction form
    32,005.49/44,153.50 = 30,523.19/x
  3. Step 3: Cross multiply
    32,005.49x = 44,153.50 × 30,523.19
  4. Step 4: Simplify right side
    32,005.49x = 1,347,705,669.67
  5. Step 5: Solve for x
    x = 1,347,705,669.67/32,005.49
  6. Step 6: Final answer
    x = 42,108.58

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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.