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Finding the Fourth Proportional to 61,709.76, 92,557.35 and 16,114.41

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Solution

The fourth proportional to 61,709.76, 92,557.35 and 16,114.41 is: 24,169.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,709.76 : 92,557.35 = 16,114.41 : x
  2. Step 2: Convert to fraction form
    61,709.76/92,557.35 = 16,114.41/x
  3. Step 3: Cross multiply
    61,709.76x = 92,557.35 × 16,114.41
  4. Step 4: Simplify right side
    61,709.76x = 1,491,507,086.41
  5. Step 5: Solve for x
    x = 1,491,507,086.41/61,709.76
  6. Step 6: Final answer
    x = 24,169.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.