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Finding the Fourth Proportional to 32,906.64, 45,369.96 and 27,463.52

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Solution

The fourth proportional to 32,906.64, 45,369.96 and 27,463.52 is: 37,865.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,906.64 : 45,369.96 = 27,463.52 : x
  2. Step 2: Convert to fraction form
    32,906.64/45,369.96 = 27,463.52/x
  3. Step 3: Cross multiply
    32,906.64x = 45,369.96 × 27,463.52
  4. Step 4: Simplify right side
    32,906.64x = 1,246,018,577.01
  5. Step 5: Solve for x
    x = 1,246,018,577.01/32,906.64
  6. Step 6: Final answer
    x = 37,865.26

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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.