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Finding the Fourth Proportional to 55,078.24, 76,070.40 and 37,142.24

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Solution

The fourth proportional to 55,078.24, 76,070.40 and 37,142.24 is: 51,298.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,078.24 : 76,070.40 = 37,142.24 : x
  2. Step 2: Convert to fraction form
    55,078.24/76,070.40 = 37,142.24/x
  3. Step 3: Cross multiply
    55,078.24x = 76,070.40 × 37,142.24
  4. Step 4: Simplify right side
    55,078.24x = 2,825,425,053.70
  5. Step 5: Solve for x
    x = 2,825,425,053.70/55,078.24
  6. Step 6: Final answer
    x = 51,298.39

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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.