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Finding the Fourth Proportional to 57,009.12, 78,671.28 and 31,860.96

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Solution

The fourth proportional to 57,009.12, 78,671.28 and 31,860.96 is: 43,967.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,009.12 : 78,671.28 = 31,860.96 : x
  2. Step 2: Convert to fraction form
    57,009.12/78,671.28 = 31,860.96/x
  3. Step 3: Cross multiply
    57,009.12x = 78,671.28 × 31,860.96
  4. Step 4: Simplify right side
    57,009.12x = 2,506,542,505.23
  5. Step 5: Solve for x
    x = 2,506,542,505.23/57,009.12
  6. Step 6: Final answer
    x = 43,967.40

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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.