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Finding the Fourth Proportional to 75,458.68, 113,167.77 and 35,937.16

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Solution

The fourth proportional to 75,458.68, 113,167.77 and 35,937.16 is: 53,896.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,458.68 : 113,167.77 = 35,937.16 : x
  2. Step 2: Convert to fraction form
    75,458.68/113,167.77 = 35,937.16/x
  3. Step 3: Cross multiply
    75,458.68x = 113,167.77 × 35,937.16
  4. Step 4: Simplify right side
    75,458.68x = 4,066,927,839.65
  5. Step 5: Solve for x
    x = 4,066,927,839.65/75,458.68
  6. Step 6: Final answer
    x = 53,896.09

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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.