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Finding the Fourth Proportional to 30,821.50, 42,621.15 and 29,429.11

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Solution

The fourth proportional to 30,821.50, 42,621.15 and 29,429.11 is: 40,695.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,821.50 : 42,621.15 = 29,429.11 : x
  2. Step 2: Convert to fraction form
    30,821.50/42,621.15 = 29,429.11/x
  3. Step 3: Cross multiply
    30,821.50x = 42,621.15 × 29,429.11
  4. Step 4: Simplify right side
    30,821.50x = 1,254,302,511.68
  5. Step 5: Solve for x
    x = 1,254,302,511.68/30,821.50
  6. Step 6: Final answer
    x = 40,695.70

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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.