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Finding the Fourth Proportional to 31,827.63, 43,903.86 and 19,870.21

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Solution

The fourth proportional to 31,827.63, 43,903.86 and 19,870.21 is: 27,409.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,827.63 : 43,903.86 = 19,870.21 : x
  2. Step 2: Convert to fraction form
    31,827.63/43,903.86 = 19,870.21/x
  3. Step 3: Cross multiply
    31,827.63x = 43,903.86 × 19,870.21
  4. Step 4: Simplify right side
    31,827.63x = 872,378,898.38
  5. Step 5: Solve for x
    x = 872,378,898.38/31,827.63
  6. Step 6: Final answer
    x = 27,409.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.