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Finding the Fourth Proportional to 75,272.13, 112,951.94 and 33,719.13

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Solution

The fourth proportional to 75,272.13, 112,951.94 and 33,719.13 is: 50,598.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,272.13 : 112,951.94 = 33,719.13 : x
  2. Step 2: Convert to fraction form
    75,272.13/112,951.94 = 33,719.13/x
  3. Step 3: Cross multiply
    75,272.13x = 112,951.94 × 33,719.13
  4. Step 4: Simplify right side
    75,272.13x = 3,808,640,980.02
  5. Step 5: Solve for x
    x = 3,808,640,980.02/75,272.13
  6. Step 6: Final answer
    x = 50,598.29

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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.