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Finding the Fourth Proportional to 30,985.48, 42,760.14 and 16,838.44

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Solution

The fourth proportional to 30,985.48, 42,760.14 and 16,838.44 is: 23,237.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,985.48 : 42,760.14 = 16,838.44 : x
  2. Step 2: Convert to fraction form
    30,985.48/42,760.14 = 16,838.44/x
  3. Step 3: Cross multiply
    30,985.48x = 42,760.14 × 16,838.44
  4. Step 4: Simplify right side
    30,985.48x = 720,014,051.78
  5. Step 5: Solve for x
    x = 720,014,051.78/30,985.48
  6. Step 6: Final answer
    x = 23,237.14

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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.