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Finding the Fourth Proportional to 29,507.48, 40,719.80 and 16,078.82

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Solution

The fourth proportional to 29,507.48, 40,719.80 and 16,078.82 is: 22,188.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,507.48 : 40,719.80 = 16,078.82 : x
  2. Step 2: Convert to fraction form
    29,507.48/40,719.80 = 16,078.82/x
  3. Step 3: Cross multiply
    29,507.48x = 40,719.80 × 16,078.82
  4. Step 4: Simplify right side
    29,507.48x = 654,726,050.64
  5. Step 5: Solve for x
    x = 654,726,050.64/29,507.48
  6. Step 6: Final answer
    x = 22,188.48

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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.