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Finding the Fourth Proportional to 75,057.58, 112,625.08 and 32,967.14

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Solution

The fourth proportional to 75,057.58, 112,625.08 and 32,967.14 is: 49,467.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,057.58 : 112,625.08 = 32,967.14 : x
  2. Step 2: Convert to fraction form
    75,057.58/112,625.08 = 32,967.14/x
  3. Step 3: Cross multiply
    75,057.58x = 112,625.08 × 32,967.14
  4. Step 4: Simplify right side
    75,057.58x = 3,712,926,979.02
  5. Step 5: Solve for x
    x = 3,712,926,979.02/75,057.58
  6. Step 6: Final answer
    x = 49,467.72

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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.