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Finding the Fourth Proportional to 55,278.72, 76,284.87 and 31,406.70

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Solution

The fourth proportional to 55,278.72, 76,284.87 and 31,406.70 is: 43,341.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,278.72 : 76,284.87 = 31,406.70 : x
  2. Step 2: Convert to fraction form
    55,278.72/76,284.87 = 31,406.70/x
  3. Step 3: Cross multiply
    55,278.72x = 76,284.87 × 31,406.70
  4. Step 4: Simplify right side
    55,278.72x = 2,395,856,026.63
  5. Step 5: Solve for x
    x = 2,395,856,026.63/55,278.72
  6. Step 6: Final answer
    x = 43,341.38

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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.