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Finding the Fourth Proportional to 31,708.76, 47,533.73 and 11,707.21

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Solution

The fourth proportional to 31,708.76, 47,533.73 and 11,707.21 is: 17,549.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,708.76 : 47,533.73 = 11,707.21 : x
  2. Step 2: Convert to fraction form
    31,708.76/47,533.73 = 11,707.21/x
  3. Step 3: Cross multiply
    31,708.76x = 47,533.73 × 11,707.21
  4. Step 4: Simplify right side
    31,708.76x = 556,487,181.82
  5. Step 5: Solve for x
    x = 556,487,181.82/31,708.76
  6. Step 6: Final answer
    x = 17,549.95

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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.