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Finding the Fourth Proportional to 56,356.38, 77,771.24 and 30,514.80

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Solution

The fourth proportional to 56,356.38, 77,771.24 and 30,514.80 is: 42,110.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,356.38 : 77,771.24 = 30,514.80 : x
  2. Step 2: Convert to fraction form
    56,356.38/77,771.24 = 30,514.80/x
  3. Step 3: Cross multiply
    56,356.38x = 77,771.24 × 30,514.80
  4. Step 4: Simplify right side
    56,356.38x = 2,373,173,834.35
  5. Step 5: Solve for x
    x = 2,373,173,834.35/56,356.38
  6. Step 6: Final answer
    x = 42,110.12

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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.