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Finding the Fourth Proportional to 75,284.54, 112,970.54 and 33,731.54

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Solution

The fourth proportional to 75,284.54, 112,970.54 and 33,731.54 is: 50,616.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,284.54 : 112,970.54 = 33,731.54 : x
  2. Step 2: Convert to fraction form
    75,284.54/112,970.54 = 33,731.54/x
  3. Step 3: Cross multiply
    75,284.54x = 112,970.54 × 33,731.54
  4. Step 4: Simplify right side
    75,284.54x = 3,810,669,555.32
  5. Step 5: Solve for x
    x = 3,810,669,555.32/75,284.54
  6. Step 6: Final answer
    x = 50,616.90

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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.