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Finding the Fourth Proportional to 31,544.70, 47,316.86 and 7,852.12

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Solution

The fourth proportional to 31,544.70, 47,316.86 and 7,852.12 is: 11,778.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,544.70 : 47,316.86 = 7,852.12 : x
  2. Step 2: Convert to fraction form
    31,544.70/47,316.86 = 7,852.12/x
  3. Step 3: Cross multiply
    31,544.70x = 47,316.86 × 7,852.12
  4. Step 4: Simplify right side
    31,544.70x = 371,537,800.79
  5. Step 5: Solve for x
    x = 371,537,800.79/31,544.70
  6. Step 6: Final answer
    x = 11,778.14

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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.