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Finding the Fourth Proportional to 31,907.32, 44,027.76 and 17,758.24

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Solution

The fourth proportional to 31,907.32, 44,027.76 and 17,758.24 is: 24,503.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,907.32 : 44,027.76 = 17,758.24 : x
  2. Step 2: Convert to fraction form
    31,907.32/44,027.76 = 17,758.24/x
  3. Step 3: Cross multiply
    31,907.32x = 44,027.76 × 17,758.24
  4. Step 4: Simplify right side
    31,907.32x = 781,855,528.74
  5. Step 5: Solve for x
    x = 781,855,528.74/31,907.32
  6. Step 6: Final answer
    x = 24,503.95

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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.