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Finding the Fourth Proportional to 56,177.38, 77,525.39 and 31,026.88

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Solution

The fourth proportional to 56,177.38, 77,525.39 and 31,026.88 is: 42,817.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,177.38 : 77,525.39 = 31,026.88 : x
  2. Step 2: Convert to fraction form
    56,177.38/77,525.39 = 31,026.88/x
  3. Step 3: Cross multiply
    56,177.38x = 77,525.39 × 31,026.88
  4. Step 4: Simplify right side
    56,177.38x = 2,405,370,429.72
  5. Step 5: Solve for x
    x = 2,405,370,429.72/56,177.38
  6. Step 6: Final answer
    x = 42,817.42

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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.