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Finding the Fourth Proportional to 79,546, 119,319.72 and 24,142

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Solution

The fourth proportional to 79,546, 119,319.72 and 24,142 is: 36,213.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,546 : 119,319.72 = 24,142 : x
  2. Step 2: Convert to fraction form
    79,546/119,319.72 = 24,142/x
  3. Step 3: Cross multiply
    79,546x = 119,319.72 × 24,142
  4. Step 4: Simplify right side
    79,546x = 2,880,616,680.24
  5. Step 5: Solve for x
    x = 2,880,616,680.24/79,546
  6. Step 6: Final answer
    x = 36,213.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.