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Finding the Fourth Proportional to 29,024.68, 40,071.09 and 22,297.09

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Solution

The fourth proportional to 29,024.68, 40,071.09 and 22,297.09 is: 30,783.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,024.68 : 40,071.09 = 22,297.09 : x
  2. Step 2: Convert to fraction form
    29,024.68/40,071.09 = 22,297.09/x
  3. Step 3: Cross multiply
    29,024.68x = 40,071.09 × 22,297.09
  4. Step 4: Simplify right side
    29,024.68x = 893,468,700.13
  5. Step 5: Solve for x
    x = 893,468,700.13/29,024.68
  6. Step 6: Final answer
    x = 30,783.07

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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.