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Finding the Fourth Proportional to 56,421.45, 77,826.20 and 36,304.47

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Solution

The fourth proportional to 56,421.45, 77,826.20 and 36,304.47 is: 50,077.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,421.45 : 77,826.20 = 36,304.47 : x
  2. Step 2: Convert to fraction form
    56,421.45/77,826.20 = 36,304.47/x
  3. Step 3: Cross multiply
    56,421.45x = 77,826.20 × 36,304.47
  4. Step 4: Simplify right side
    56,421.45x = 2,825,438,761.59
  5. Step 5: Solve for x
    x = 2,825,438,761.59/56,421.45
  6. Step 6: Final answer
    x = 50,077.39

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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.