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Finding the Fourth Proportional to 31,666.84, 47,477.22 and 20,584.60

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Solution

The fourth proportional to 31,666.84, 47,477.22 and 20,584.60 is: 30,861.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,666.84 : 47,477.22 = 20,584.60 : x
  2. Step 2: Convert to fraction form
    31,666.84/47,477.22 = 20,584.60/x
  3. Step 3: Cross multiply
    31,666.84x = 47,477.22 × 20,584.60
  4. Step 4: Simplify right side
    31,666.84x = 977,299,582.81
  5. Step 5: Solve for x
    x = 977,299,582.81/31,666.84
  6. Step 6: Final answer
    x = 30,861.92

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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.