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Finding the Fourth Proportional to 57,053.47, 85,580.22 and 21,505.16

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Solution

The fourth proportional to 57,053.47, 85,580.22 and 21,505.16 is: 32,257.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,053.47 : 85,580.22 = 21,505.16 : x
  2. Step 2: Convert to fraction form
    57,053.47/85,580.22 = 21,505.16/x
  3. Step 3: Cross multiply
    57,053.47x = 85,580.22 × 21,505.16
  4. Step 4: Simplify right side
    57,053.47x = 1,840,416,323.94
  5. Step 5: Solve for x
    x = 1,840,416,323.94/57,053.47
  6. Step 6: Final answer
    x = 32,257.75

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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.