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Finding the Fourth Proportional to 67,824, 93,597.12 and 41,328

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Solution

The fourth proportional to 67,824, 93,597.12 and 41,328 is: 57,032.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,824 : 93,597.12 = 41,328 : x
  2. Step 2: Convert to fraction form
    67,824/93,597.12 = 41,328/x
  3. Step 3: Cross multiply
    67,824x = 93,597.12 × 41,328
  4. Step 4: Simplify right side
    67,824x = 3,868,181,775.36
  5. Step 5: Solve for x
    x = 3,868,181,775.36/67,824
  6. Step 6: Final answer
    x = 57,032.64

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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.