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Finding the Fourth Proportional to 31,715.96, 47,573.94 and 13,235

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Solution

The fourth proportional to 31,715.96, 47,573.94 and 13,235 is: 19,852.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,715.96 : 47,573.94 = 13,235 : x
  2. Step 2: Convert to fraction form
    31,715.96/47,573.94 = 13,235/x
  3. Step 3: Cross multiply
    31,715.96x = 47,573.94 × 13,235
  4. Step 4: Simplify right side
    31,715.96x = 629,641,095.90
  5. Step 5: Solve for x
    x = 629,641,095.90/31,715.96
  6. Step 6: Final answer
    x = 19,852.50

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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.