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Finding the Fourth Proportional to 35,464.40, 53,039.75 and 31,543.19

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Solution

The fourth proportional to 35,464.40, 53,039.75 and 31,543.19 is: 47,175.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,464.40 : 53,039.75 = 31,543.19 : x
  2. Step 2: Convert to fraction form
    35,464.40/53,039.75 = 31,543.19/x
  3. Step 3: Cross multiply
    35,464.40x = 53,039.75 × 31,543.19
  4. Step 4: Simplify right side
    35,464.40x = 1,673,042,687.79
  5. Step 5: Solve for x
    x = 1,673,042,687.79/35,464.40
  6. Step 6: Final answer
    x = 47,175.27

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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.