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Finding the Fourth Proportional to 57,089.64, 78,784.74 and 31,938.60

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Solution

The fourth proportional to 57,089.64, 78,784.74 and 31,938.60 is: 44,075.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,089.64 : 78,784.74 = 31,938.60 : x
  2. Step 2: Convert to fraction form
    57,089.64/78,784.74 = 31,938.60/x
  3. Step 3: Cross multiply
    57,089.64x = 78,784.74 × 31,938.60
  4. Step 4: Simplify right side
    57,089.64x = 2,516,274,296.96
  5. Step 5: Solve for x
    x = 2,516,274,296.96/57,089.64
  6. Step 6: Final answer
    x = 44,075.85

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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.