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Finding the Fourth Proportional to 79,792, 110,120.64 and 44,464

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Solution

The fourth proportional to 79,792, 110,120.64 and 44,464 is: 61,364.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,792 : 110,120.64 = 44,464 : x
  2. Step 2: Convert to fraction form
    79,792/110,120.64 = 44,464/x
  3. Step 3: Cross multiply
    79,792x = 110,120.64 × 44,464
  4. Step 4: Simplify right side
    79,792x = 4,896,404,136.96
  5. Step 5: Solve for x
    x = 4,896,404,136.96/79,792
  6. Step 6: Final answer
    x = 61,364.60

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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.