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Finding the Fourth Proportional to 31,686.34, 47,527.98 and 10,626.68

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Solution

The fourth proportional to 31,686.34, 47,527.98 and 10,626.68 is: 15,939.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,686.34 : 47,527.98 = 10,626.68 : x
  2. Step 2: Convert to fraction form
    31,686.34/47,527.98 = 10,626.68/x
  3. Step 3: Cross multiply
    31,686.34x = 47,527.98 × 10,626.68
  4. Step 4: Simplify right side
    31,686.34x = 505,064,634.51
  5. Step 5: Solve for x
    x = 505,064,634.51/31,686.34
  6. Step 6: Final answer
    x = 15,939.51

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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.