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Finding the Fourth Proportional to 32,777.97, 49,167 and 14,045.86

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Solution

The fourth proportional to 32,777.97, 49,167 and 14,045.86 is: 21,068.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,777.97 : 49,167 = 14,045.86 : x
  2. Step 2: Convert to fraction form
    32,777.97/49,167 = 14,045.86/x
  3. Step 3: Cross multiply
    32,777.97x = 49,167 × 14,045.86
  4. Step 4: Simplify right side
    32,777.97x = 690,592,798.62
  5. Step 5: Solve for x
    x = 690,592,798.62/32,777.97
  6. Step 6: Final answer
    x = 21,068.81

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