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Finding the Fourth Proportional to 31,699.63, 47,557.34 and 9,513.42

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Solution

The fourth proportional to 31,699.63, 47,557.34 and 9,513.42 is: 14,272.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,699.63 : 47,557.34 = 9,513.42 : x
  2. Step 2: Convert to fraction form
    31,699.63/47,557.34 = 9,513.42/x
  3. Step 3: Cross multiply
    31,699.63x = 47,557.34 × 9,513.42
  4. Step 4: Simplify right side
    31,699.63x = 452,432,949.50
  5. Step 5: Solve for x
    x = 452,432,949.50/31,699.63
  6. Step 6: Final answer
    x = 14,272.50

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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.