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Finding the Fourth Proportional to 55,874, 77,106.12 and 33,525.20

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Solution

The fourth proportional to 55,874, 77,106.12 and 33,525.20 is: 46,264.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,874 : 77,106.12 = 33,525.20 : x
  2. Step 2: Convert to fraction form
    55,874/77,106.12 = 33,525.20/x
  3. Step 3: Cross multiply
    55,874x = 77,106.12 × 33,525.20
  4. Step 4: Simplify right side
    55,874x = 2,584,998,094.22
  5. Step 5: Solve for x
    x = 2,584,998,094.22/55,874
  6. Step 6: Final answer
    x = 46,264.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.