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Finding the Fourth Proportional to 51,143.60, 76,714.68 and 14,207.60

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Solution

The fourth proportional to 51,143.60, 76,714.68 and 14,207.60 is: 21,311.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,143.60 : 76,714.68 = 14,207.60 : x
  2. Step 2: Convert to fraction form
    51,143.60/76,714.68 = 14,207.60/x
  3. Step 3: Cross multiply
    51,143.60x = 76,714.68 × 14,207.60
  4. Step 4: Simplify right side
    51,143.60x = 1,089,931,487.57
  5. Step 5: Solve for x
    x = 1,089,931,487.57/51,143.60
  6. Step 6: Final answer
    x = 21,311.20

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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.