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Finding the Fourth Proportional to 75,095.88, 112,682.64 and 33,005.51

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Solution

The fourth proportional to 75,095.88, 112,682.64 and 33,005.51 is: 49,525.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,095.88 : 112,682.64 = 33,005.51 : x
  2. Step 2: Convert to fraction form
    75,095.88/112,682.64 = 33,005.51/x
  3. Step 3: Cross multiply
    75,095.88x = 112,682.64 × 33,005.51
  4. Step 4: Simplify right side
    75,095.88x = 3,719,147,984.26
  5. Step 5: Solve for x
    x = 3,719,147,984.26/75,095.88
  6. Step 6: Final answer
    x = 49,525.33

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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.