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Finding the Fourth Proportional to 31,230.32, 46,849.80 and 12,758

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Solution

The fourth proportional to 31,230.32, 46,849.80 and 12,758 is: 19,138.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,230.32 : 46,849.80 = 12,758 : x
  2. Step 2: Convert to fraction form
    31,230.32/46,849.80 = 12,758/x
  3. Step 3: Cross multiply
    31,230.32x = 46,849.80 × 12,758
  4. Step 4: Simplify right side
    31,230.32x = 597,709,748.40
  5. Step 5: Solve for x
    x = 597,709,748.40/31,230.32
  6. Step 6: Final answer
    x = 19,138.76

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