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Finding the Fourth Proportional to 77,774, 107,328.12 and 42,446

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Solution

The fourth proportional to 77,774, 107,328.12 and 42,446 is: 58,575.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,774 : 107,328.12 = 42,446 : x
  2. Step 2: Convert to fraction form
    77,774/107,328.12 = 42,446/x
  3. Step 3: Cross multiply
    77,774x = 107,328.12 × 42,446
  4. Step 4: Simplify right side
    77,774x = 4,555,649,381.52
  5. Step 5: Solve for x
    x = 4,555,649,381.52/77,774
  6. Step 6: Final answer
    x = 58,575.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.