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Finding the Fourth Proportional to 29,506.87, 40,719.48 and 16,078.12

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Solution

The fourth proportional to 29,506.87, 40,719.48 and 16,078.12 is: 22,187.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,506.87 : 40,719.48 = 16,078.12 : x
  2. Step 2: Convert to fraction form
    29,506.87/40,719.48 = 16,078.12/x
  3. Step 3: Cross multiply
    29,506.87x = 40,719.48 × 16,078.12
  4. Step 4: Simplify right side
    29,506.87x = 654,692,752.73
  5. Step 5: Solve for x
    x = 654,692,752.73/29,506.87
  6. Step 6: Final answer
    x = 22,187.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.