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Finding the Fourth Proportional to 79,152, 109,229.76 and 43,824

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Solution

The fourth proportional to 79,152, 109,229.76 and 43,824 is: 60,477.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,152 : 109,229.76 = 43,824 : x
  2. Step 2: Convert to fraction form
    79,152/109,229.76 = 43,824/x
  3. Step 3: Cross multiply
    79,152x = 109,229.76 × 43,824
  4. Step 4: Simplify right side
    79,152x = 4,786,885,002.24
  5. Step 5: Solve for x
    x = 4,786,885,002.24/79,152
  6. Step 6: Final answer
    x = 60,477.12

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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.