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Finding the Fourth Proportional to 57,090, 78,784.20 and 31,939.50

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Solution

The fourth proportional to 57,090, 78,784.20 and 31,939.50 is: 44,076.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,090 : 78,784.20 = 31,939.50 : x
  2. Step 2: Convert to fraction form
    57,090/78,784.20 = 31,939.50/x
  3. Step 3: Cross multiply
    57,090x = 78,784.20 × 31,939.50
  4. Step 4: Simplify right side
    57,090x = 2,516,327,955.90
  5. Step 5: Solve for x
    x = 2,516,327,955.90/57,090
  6. Step 6: Final answer
    x = 44,076.51

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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.