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Finding the Fourth Proportional to 31,574.64, 43,577.80 and 19,641.83

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Solution

The fourth proportional to 31,574.64, 43,577.80 and 19,641.83 is: 27,108.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,574.64 : 43,577.80 = 19,641.83 : x
  2. Step 2: Convert to fraction form
    31,574.64/43,577.80 = 19,641.83/x
  3. Step 3: Cross multiply
    31,574.64x = 43,577.80 × 19,641.83
  4. Step 4: Simplify right side
    31,574.64x = 855,947,472.38
  5. Step 5: Solve for x
    x = 855,947,472.38/31,574.64
  6. Step 6: Final answer
    x = 27,108.70

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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.