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Finding the Fourth Proportional to 34,114.60, 51,114.30 and 22,421.80

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Solution

The fourth proportional to 34,114.60, 51,114.30 and 22,421.80 is: 33,594.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,114.60 : 51,114.30 = 22,421.80 : x
  2. Step 2: Convert to fraction form
    34,114.60/51,114.30 = 22,421.80/x
  3. Step 3: Cross multiply
    34,114.60x = 51,114.30 × 22,421.80
  4. Step 4: Simplify right side
    34,114.60x = 1,146,074,611.74
  5. Step 5: Solve for x
    x = 1,146,074,611.74/34,114.60
  6. Step 6: Final answer
    x = 33,594.84

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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.