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Finding the Fourth Proportional to 56,420.39, 77,861.67 and 40,534.57

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Solution

The fourth proportional to 56,420.39, 77,861.67 and 40,534.57 is: 55,938.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,420.39 : 77,861.67 = 40,534.57 : x
  2. Step 2: Convert to fraction form
    56,420.39/77,861.67 = 40,534.57/x
  3. Step 3: Cross multiply
    56,420.39x = 77,861.67 × 40,534.57
  4. Step 4: Simplify right side
    56,420.39x = 3,156,088,720.95
  5. Step 5: Solve for x
    x = 3,156,088,720.95/56,420.39
  6. Step 6: Final answer
    x = 55,938.80

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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.