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Finding the Fourth Proportional to 31,707, 47,568.70 and 11,985.72

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Solution

The fourth proportional to 31,707, 47,568.70 and 11,985.72 is: 17,981.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,707 : 47,568.70 = 11,985.72 : x
  2. Step 2: Convert to fraction form
    31,707/47,568.70 = 11,985.72/x
  3. Step 3: Cross multiply
    31,707x = 47,568.70 × 11,985.72
  4. Step 4: Simplify right side
    31,707x = 570,145,118.96
  5. Step 5: Solve for x
    x = 570,145,118.96/31,707
  6. Step 6: Final answer
    x = 17,981.68

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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.