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Finding the Fourth Proportional to 75,785.58, 113,653.71 and 35,798.36

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Solution

The fourth proportional to 75,785.58, 113,653.71 and 35,798.36 is: 53,685.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,785.58 : 113,653.71 = 35,798.36 : x
  2. Step 2: Convert to fraction form
    75,785.58/113,653.71 = 35,798.36/x
  3. Step 3: Cross multiply
    75,785.58x = 113,653.71 × 35,798.36
  4. Step 4: Simplify right side
    75,785.58x = 4,068,615,857.65
  5. Step 5: Solve for x
    x = 4,068,615,857.65/75,785.58
  6. Step 6: Final answer
    x = 53,685.88

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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.