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Finding the Fourth Proportional to 40,813.76, 61,198.32 and 12,726.31

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Solution

The fourth proportional to 40,813.76, 61,198.32 and 12,726.31 is: 19,082.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,813.76 : 61,198.32 = 12,726.31 : x
  2. Step 2: Convert to fraction form
    40,813.76/61,198.32 = 12,726.31/x
  3. Step 3: Cross multiply
    40,813.76x = 61,198.32 × 12,726.31
  4. Step 4: Simplify right side
    40,813.76x = 778,828,422.18
  5. Step 5: Solve for x
    x = 778,828,422.18/40,813.76
  6. Step 6: Final answer
    x = 19,082.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.