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Finding the Fourth Proportional to 31,643.51, 47,428.01 and 12,911.86

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Solution

The fourth proportional to 31,643.51, 47,428.01 and 12,911.86 is: 19,352.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,643.51 : 47,428.01 = 12,911.86 : x
  2. Step 2: Convert to fraction form
    31,643.51/47,428.01 = 12,911.86/x
  3. Step 3: Cross multiply
    31,643.51x = 47,428.01 × 12,911.86
  4. Step 4: Simplify right side
    31,643.51x = 612,383,523.50
  5. Step 5: Solve for x
    x = 612,383,523.50/31,643.51
  6. Step 6: Final answer
    x = 19,352.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.