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Finding the Fourth Proportional to 56,472.26, 77,941.05 and 31,329.86

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Solution

The fourth proportional to 56,472.26, 77,941.05 and 31,329.86 is: 43,240.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,472.26 : 77,941.05 = 31,329.86 : x
  2. Step 2: Convert to fraction form
    56,472.26/77,941.05 = 31,329.86/x
  3. Step 3: Cross multiply
    56,472.26x = 77,941.05 × 31,329.86
  4. Step 4: Simplify right side
    56,472.26x = 2,441,882,184.75
  5. Step 5: Solve for x
    x = 2,441,882,184.75/56,472.26
  6. Step 6: Final answer
    x = 43,240.38

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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.