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Finding the Fourth Proportional to 57,221.52, 78,970.32 and 31,730.40

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Solution

The fourth proportional to 57,221.52, 78,970.32 and 31,730.40 is: 43,790.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,221.52 : 78,970.32 = 31,730.40 : x
  2. Step 2: Convert to fraction form
    57,221.52/78,970.32 = 31,730.40/x
  3. Step 3: Cross multiply
    57,221.52x = 78,970.32 × 31,730.40
  4. Step 4: Simplify right side
    57,221.52x = 2,505,759,841.73
  5. Step 5: Solve for x
    x = 2,505,759,841.73/57,221.52
  6. Step 6: Final answer
    x = 43,790.52

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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.