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Finding the Fourth Proportional to 56,406.80, 77,820.77 and 33,746.43

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Solution

The fourth proportional to 56,406.80, 77,820.77 and 33,746.43 is: 46,557.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,406.80 : 77,820.77 = 33,746.43 : x
  2. Step 2: Convert to fraction form
    56,406.80/77,820.77 = 33,746.43/x
  3. Step 3: Cross multiply
    56,406.80x = 77,820.77 × 33,746.43
  4. Step 4: Simplify right side
    56,406.80x = 2,626,172,998.62
  5. Step 5: Solve for x
    x = 2,626,172,998.62/56,406.80
  6. Step 6: Final answer
    x = 46,557.74

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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.