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Finding the Fourth Proportional to 31,762.68, 43,851.50 and 19,842.16

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Solution

The fourth proportional to 31,762.68, 43,851.50 and 19,842.16 is: 27,394.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,762.68 : 43,851.50 = 19,842.16 : x
  2. Step 2: Convert to fraction form
    31,762.68/43,851.50 = 19,842.16/x
  3. Step 3: Cross multiply
    31,762.68x = 43,851.50 × 19,842.16
  4. Step 4: Simplify right side
    31,762.68x = 870,108,479.24
  5. Step 5: Solve for x
    x = 870,108,479.24/31,762.68
  6. Step 6: Final answer
    x = 27,394.05

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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.