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Finding the Fourth Proportional to 30,938.58, 42,695.25 and 16,791.42

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Solution

The fourth proportional to 30,938.58, 42,695.25 and 16,791.42 is: 23,172.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,938.58 : 42,695.25 = 16,791.42 : x
  2. Step 2: Convert to fraction form
    30,938.58/42,695.25 = 16,791.42/x
  3. Step 3: Cross multiply
    30,938.58x = 42,695.25 × 16,791.42
  4. Step 4: Simplify right side
    30,938.58x = 716,913,874.76
  5. Step 5: Solve for x
    x = 716,913,874.76/30,938.58
  6. Step 6: Final answer
    x = 23,172.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.