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Finding the Fourth Proportional to 56,255.90, 77,633.22 and 30,762.38

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Solution

The fourth proportional to 56,255.90, 77,633.22 and 30,762.38 is: 42,452.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,255.90 : 77,633.22 = 30,762.38 : x
  2. Step 2: Convert to fraction form
    56,255.90/77,633.22 = 30,762.38/x
  3. Step 3: Cross multiply
    56,255.90x = 77,633.22 × 30,762.38
  4. Step 4: Simplify right side
    56,255.90x = 2,388,182,614.26
  5. Step 5: Solve for x
    x = 2,388,182,614.26/56,255.90
  6. Step 6: Final answer
    x = 42,452.13

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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.