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Finding the Fourth Proportional to 76,617, 114,964.38 and 35,074.44

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Solution

The fourth proportional to 76,617, 114,964.38 and 35,074.44 is: 52,629.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,617 : 114,964.38 = 35,074.44 : x
  2. Step 2: Convert to fraction form
    76,617/114,964.38 = 35,074.44/x
  3. Step 3: Cross multiply
    76,617x = 114,964.38 × 35,074.44
  4. Step 4: Simplify right side
    76,617x = 4,032,311,248.45
  5. Step 5: Solve for x
    x = 4,032,311,248.45/76,617
  6. Step 6: Final answer
    x = 52,629.46

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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.