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Finding the Fourth Proportional to 57,232.12, 78,980.52 and 32,080

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Solution

The fourth proportional to 57,232.12, 78,980.52 and 32,080 is: 44,270.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,232.12 : 78,980.52 = 32,080 : x
  2. Step 2: Convert to fraction form
    57,232.12/78,980.52 = 32,080/x
  3. Step 3: Cross multiply
    57,232.12x = 78,980.52 × 32,080
  4. Step 4: Simplify right side
    57,232.12x = 2,533,695,081.60
  5. Step 5: Solve for x
    x = 2,533,695,081.60/57,232.12
  6. Step 6: Final answer
    x = 44,270.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.