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Finding the Fourth Proportional to 31,709.76, 47,564.88 and 9,523.32

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Solution

The fourth proportional to 31,709.76, 47,564.88 and 9,523.32 is: 14,285.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,709.76 : 47,564.88 = 9,523.32 : x
  2. Step 2: Convert to fraction form
    31,709.76/47,564.88 = 9,523.32/x
  3. Step 3: Cross multiply
    31,709.76x = 47,564.88 × 9,523.32
  4. Step 4: Simplify right side
    31,709.76x = 452,975,573.00
  5. Step 5: Solve for x
    x = 452,975,573.00/31,709.76
  6. Step 6: Final answer
    x = 14,285.05

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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.