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Finding the Fourth Proportional to 117,785.84, 176,585.84 and 58,589.20

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Solution

The fourth proportional to 117,785.84, 176,585.84 and 58,589.20 is: 87,837.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,785.84 : 176,585.84 = 58,589.20 : x
  2. Step 2: Convert to fraction form
    117,785.84/176,585.84 = 58,589.20/x
  3. Step 3: Cross multiply
    117,785.84x = 176,585.84 × 58,589.20
  4. Step 4: Simplify right side
    117,785.84x = 10,346,023,096.93
  5. Step 5: Solve for x
    x = 10,346,023,096.93/117,785.84
  6. Step 6: Final answer
    x = 87,837.58

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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.