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Finding the Fourth Proportional to 30,803.49, 42,537.15 and 29,146.23

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Solution

The fourth proportional to 30,803.49, 42,537.15 and 29,146.23 is: 40,248.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,803.49 : 42,537.15 = 29,146.23 : x
  2. Step 2: Convert to fraction form
    30,803.49/42,537.15 = 29,146.23/x
  3. Step 3: Cross multiply
    30,803.49x = 42,537.15 × 29,146.23
  4. Step 4: Simplify right side
    30,803.49x = 1,239,797,557.44
  5. Step 5: Solve for x
    x = 1,239,797,557.44/30,803.49
  6. Step 6: Final answer
    x = 40,248.61

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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.