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Finding the Fourth Proportional to 61,051.96, 91,504.13 and 31,453.65

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Solution

The fourth proportional to 61,051.96, 91,504.13 and 31,453.65 is: 47,142.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,051.96 : 91,504.13 = 31,453.65 : x
  2. Step 2: Convert to fraction form
    61,051.96/91,504.13 = 31,453.65/x
  3. Step 3: Cross multiply
    61,051.96x = 91,504.13 × 31,453.65
  4. Step 4: Simplify right side
    61,051.96x = 2,878,138,898.23
  5. Step 5: Solve for x
    x = 2,878,138,898.23/61,051.96
  6. Step 6: Final answer
    x = 47,142.45

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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.