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Finding the Fourth Proportional to 54,670.64, 75,446.04 and 32,004.64

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Solution

The fourth proportional to 54,670.64, 75,446.04 and 32,004.64 is: 44,166.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,670.64 : 75,446.04 = 32,004.64 : x
  2. Step 2: Convert to fraction form
    54,670.64/75,446.04 = 32,004.64/x
  3. Step 3: Cross multiply
    54,670.64x = 75,446.04 × 32,004.64
  4. Step 4: Simplify right side
    54,670.64x = 2,414,623,349.63
  5. Step 5: Solve for x
    x = 2,414,623,349.63/54,670.64
  6. Step 6: Final answer
    x = 44,166.73

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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.