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Finding the Fourth Proportional to 88,824, 122,578.56 and 49,080

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Solution

The fourth proportional to 88,824, 122,578.56 and 49,080 is: 67,731.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,824 : 122,578.56 = 49,080 : x
  2. Step 2: Convert to fraction form
    88,824/122,578.56 = 49,080/x
  3. Step 3: Cross multiply
    88,824x = 122,578.56 × 49,080
  4. Step 4: Simplify right side
    88,824x = 6,016,155,724.80
  5. Step 5: Solve for x
    x = 6,016,155,724.80/88,824
  6. Step 6: Final answer
    x = 67,731.20

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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.