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Finding the Fourth Proportional to 31,145.79, 46,726.69 and 8,960.91

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Solution

The fourth proportional to 31,145.79, 46,726.69 and 8,960.91 is: 13,443.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,145.79 : 46,726.69 = 8,960.91 : x
  2. Step 2: Convert to fraction form
    31,145.79/46,726.69 = 8,960.91/x
  3. Step 3: Cross multiply
    31,145.79x = 46,726.69 × 8,960.91
  4. Step 4: Simplify right side
    31,145.79x = 418,713,663.69
  5. Step 5: Solve for x
    x = 418,713,663.69/31,145.79
  6. Step 6: Final answer
    x = 13,443.67

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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.