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Finding the Fourth Proportional to 57,159.80, 78,883.38 and 34,498.46

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Solution

The fourth proportional to 57,159.80, 78,883.38 and 34,498.46 is: 47,609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,159.80 : 78,883.38 = 34,498.46 : x
  2. Step 2: Convert to fraction form
    57,159.80/78,883.38 = 34,498.46/x
  3. Step 3: Cross multiply
    57,159.80x = 78,883.38 × 34,498.46
  4. Step 4: Simplify right side
    57,159.80x = 2,721,355,129.59
  5. Step 5: Solve for x
    x = 2,721,355,129.59/57,159.80
  6. Step 6: Final answer
    x = 47,609.60

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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.