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Finding the Fourth Proportional to 117,842.64, 176,791.62 and 38,956.86

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Solution

The fourth proportional to 117,842.64, 176,791.62 and 38,956.86 is: 58,444.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,842.64 : 176,791.62 = 38,956.86 : x
  2. Step 2: Convert to fraction form
    117,842.64/176,791.62 = 38,956.86/x
  3. Step 3: Cross multiply
    117,842.64x = 176,791.62 × 38,956.86
  4. Step 4: Simplify right side
    117,842.64x = 6,887,246,389.51
  5. Step 5: Solve for x
    x = 6,887,246,389.51/117,842.64
  6. Step 6: Final answer
    x = 58,444.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.