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Finding the Fourth Proportional to 31,697.34, 47,533.77 and 9,505.50

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Solution

The fourth proportional to 31,697.34, 47,533.77 and 9,505.50 is: 14,254.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,697.34 : 47,533.77 = 9,505.50 : x
  2. Step 2: Convert to fraction form
    31,697.34/47,533.77 = 9,505.50/x
  3. Step 3: Cross multiply
    31,697.34x = 47,533.77 × 9,505.50
  4. Step 4: Simplify right side
    31,697.34x = 451,832,250.74
  5. Step 5: Solve for x
    x = 451,832,250.74/31,697.34
  6. Step 6: Final answer
    x = 14,254.58

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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.