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Finding the Fourth Proportional to 53,785.68, 80,683.20 and 14,343

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Solution

The fourth proportional to 53,785.68, 80,683.20 and 14,343 is: 21,515.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,785.68 : 80,683.20 = 14,343 : x
  2. Step 2: Convert to fraction form
    53,785.68/80,683.20 = 14,343/x
  3. Step 3: Cross multiply
    53,785.68x = 80,683.20 × 14,343
  4. Step 4: Simplify right side
    53,785.68x = 1,157,239,137.60
  5. Step 5: Solve for x
    x = 1,157,239,137.60/53,785.68
  6. Step 6: Final answer
    x = 21,515.75

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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.