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Finding the Fourth Proportional to 31,491.57, 47,248.86 and 14,632.37

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Solution

The fourth proportional to 31,491.57, 47,248.86 and 14,632.37 is: 21,953.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,491.57 : 47,248.86 = 14,632.37 : x
  2. Step 2: Convert to fraction form
    31,491.57/47,248.86 = 14,632.37/x
  3. Step 3: Cross multiply
    31,491.57x = 47,248.86 × 14,632.37
  4. Step 4: Simplify right side
    31,491.57x = 691,362,565.35
  5. Step 5: Solve for x
    x = 691,362,565.35/31,491.57
  6. Step 6: Final answer
    x = 21,953.89

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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.