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Finding the Fourth Proportional to 57,160.30, 78,884.07 and 34,498.93

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Solution

The fourth proportional to 57,160.30, 78,884.07 and 34,498.93 is: 47,610.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,160.30 : 78,884.07 = 34,498.93 : x
  2. Step 2: Convert to fraction form
    57,160.30/78,884.07 = 34,498.93/x
  3. Step 3: Cross multiply
    57,160.30x = 78,884.07 × 34,498.93
  4. Step 4: Simplify right side
    57,160.30x = 2,721,416,009.05
  5. Step 5: Solve for x
    x = 2,721,416,009.05/57,160.30
  6. Step 6: Final answer
    x = 47,610.25

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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.