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Finding the Fourth Proportional to 42,782.60, 64,167.34 and 11,610.44

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Solution

The fourth proportional to 42,782.60, 64,167.34 and 11,610.44 is: 17,413.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,782.60 : 64,167.34 = 11,610.44 : x
  2. Step 2: Convert to fraction form
    42,782.60/64,167.34 = 11,610.44/x
  3. Step 3: Cross multiply
    42,782.60x = 64,167.34 × 11,610.44
  4. Step 4: Simplify right side
    42,782.60x = 745,011,051.03
  5. Step 5: Solve for x
    x = 745,011,051.03/42,782.60
  6. Step 6: Final answer
    x = 17,413.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.