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Finding the Fourth Proportional to 56,404.29, 77,817.32 and 33,743.93

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Solution

The fourth proportional to 56,404.29, 77,817.32 and 33,743.93 is: 46,554.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,404.29 : 77,817.32 = 33,743.93 : x
  2. Step 2: Convert to fraction form
    56,404.29/77,817.32 = 33,743.93/x
  3. Step 3: Cross multiply
    56,404.29x = 77,817.32 × 33,743.93
  4. Step 4: Simplify right side
    56,404.29x = 2,625,862,198.87
  5. Step 5: Solve for x
    x = 2,625,862,198.87/56,404.29
  6. Step 6: Final answer
    x = 46,554.30

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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.