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Finding the Fourth Proportional to 57,098.15, 78,795.59 and 31,606.28

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Solution

The fourth proportional to 57,098.15, 78,795.59 and 31,606.28 is: 43,616.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,098.15 : 78,795.59 = 31,606.28 : x
  2. Step 2: Convert to fraction form
    57,098.15/78,795.59 = 31,606.28/x
  3. Step 3: Cross multiply
    57,098.15x = 78,795.59 × 31,606.28
  4. Step 4: Simplify right side
    57,098.15x = 2,490,435,480.31
  5. Step 5: Solve for x
    x = 2,490,435,480.31/57,098.15
  6. Step 6: Final answer
    x = 43,616.75

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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.