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Finding the Fourth Proportional to 41,646.62, 57,473.70 and 22,783.74

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Solution

The fourth proportional to 41,646.62, 57,473.70 and 22,783.74 is: 31,442.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,646.62 : 57,473.70 = 22,783.74 : x
  2. Step 2: Convert to fraction form
    41,646.62/57,473.70 = 22,783.74/x
  3. Step 3: Cross multiply
    41,646.62x = 57,473.70 × 22,783.74
  4. Step 4: Simplify right side
    41,646.62x = 1,309,465,837.64
  5. Step 5: Solve for x
    x = 1,309,465,837.64/41,646.62
  6. Step 6: Final answer
    x = 31,442.31

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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.