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Finding the Fourth Proportional to 31,585.68, 43,569.36 and 19,008

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Solution

The fourth proportional to 31,585.68, 43,569.36 and 19,008 is: 26,219.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,585.68 : 43,569.36 = 19,008 : x
  2. Step 2: Convert to fraction form
    31,585.68/43,569.36 = 19,008/x
  3. Step 3: Cross multiply
    31,585.68x = 43,569.36 × 19,008
  4. Step 4: Simplify right side
    31,585.68x = 828,166,394.88
  5. Step 5: Solve for x
    x = 828,166,394.88/31,585.68
  6. Step 6: Final answer
    x = 26,219.68

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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.