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Finding the Fourth Proportional to 30,935.76, 42,691.37 and 16,788.60

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Solution

The fourth proportional to 30,935.76, 42,691.37 and 16,788.60 is: 23,168.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,935.76 : 42,691.37 = 16,788.60 : x
  2. Step 2: Convert to fraction form
    30,935.76/42,691.37 = 16,788.60/x
  3. Step 3: Cross multiply
    30,935.76x = 42,691.37 × 16,788.60
  4. Step 4: Simplify right side
    30,935.76x = 716,728,334.38
  5. Step 5: Solve for x
    x = 716,728,334.38/30,935.76
  6. Step 6: Final answer
    x = 23,168.28

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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.