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Finding the Fourth Proportional to 56,370.87, 77,782.37 and 33,719.13

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Solution

The fourth proportional to 56,370.87, 77,782.37 and 33,719.13 is: 46,526.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,370.87 : 77,782.37 = 33,719.13 : x
  2. Step 2: Convert to fraction form
    56,370.87/77,782.37 = 33,719.13/x
  3. Step 3: Cross multiply
    56,370.87x = 77,782.37 × 33,719.13
  4. Step 4: Simplify right side
    56,370.87x = 2,622,753,677.14
  5. Step 5: Solve for x
    x = 2,622,753,677.14/56,370.87
  6. Step 6: Final answer
    x = 46,526.76

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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.