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Finding the Fourth Proportional to 56,408.29, 77,841.05 and 33,733.87

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Solution

The fourth proportional to 56,408.29, 77,841.05 and 33,733.87 is: 46,551.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,408.29 : 77,841.05 = 33,733.87 : x
  2. Step 2: Convert to fraction form
    56,408.29/77,841.05 = 33,733.87/x
  3. Step 3: Cross multiply
    56,408.29x = 77,841.05 × 33,733.87
  4. Step 4: Simplify right side
    56,408.29x = 2,625,879,498.09
  5. Step 5: Solve for x
    x = 2,625,879,498.09/56,408.29
  6. Step 6: Final answer
    x = 46,551.31

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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.