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Finding the Fourth Proportional to 29,506.66, 40,719.41 and 16,078.28

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Solution

The fourth proportional to 29,506.66, 40,719.41 and 16,078.28 is: 22,188.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,506.66 : 40,719.41 = 16,078.28 : x
  2. Step 2: Convert to fraction form
    29,506.66/40,719.41 = 16,078.28/x
  3. Step 3: Cross multiply
    29,506.66x = 40,719.41 × 16,078.28
  4. Step 4: Simplify right side
    29,506.66x = 654,697,851.72
  5. Step 5: Solve for x
    x = 654,697,851.72/29,506.66
  6. Step 6: Final answer
    x = 22,188.14

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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.