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Finding the Fourth Proportional to 29,506.20, 40,719.02 and 16,077.47

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Solution

The fourth proportional to 29,506.20, 40,719.02 and 16,077.47 is: 22,187.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,506.20 : 40,719.02 = 16,077.47 : x
  2. Step 2: Convert to fraction form
    29,506.20/40,719.02 = 16,077.47/x
  3. Step 3: Cross multiply
    29,506.20x = 40,719.02 × 16,077.47
  4. Step 4: Simplify right side
    29,506.20x = 654,658,538.50
  5. Step 5: Solve for x
    x = 654,658,538.50/29,506.20
  6. Step 6: Final answer
    x = 22,187.15

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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.