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Finding the Fourth Proportional to 30,820.50, 42,619.77 and 29,428.11

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Solution

The fourth proportional to 30,820.50, 42,619.77 and 29,428.11 is: 40,694.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,820.50 : 42,619.77 = 29,428.11 : x
  2. Step 2: Convert to fraction form
    30,820.50/42,619.77 = 29,428.11/x
  3. Step 3: Cross multiply
    30,820.50x = 42,619.77 × 29,428.11
  4. Step 4: Simplify right side
    30,820.50x = 1,254,219,279.73
  5. Step 5: Solve for x
    x = 1,254,219,279.73/30,820.50
  6. Step 6: Final answer
    x = 40,694.32

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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.