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Finding the Fourth Proportional to 31,505.39, 47,267.32 and 9,319.36

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Solution

The fourth proportional to 31,505.39, 47,267.32 and 9,319.36 is: 13,981.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,505.39 : 47,267.32 = 9,319.36 : x
  2. Step 2: Convert to fraction form
    31,505.39/47,267.32 = 9,319.36/x
  3. Step 3: Cross multiply
    31,505.39x = 47,267.32 × 9,319.36
  4. Step 4: Simplify right side
    31,505.39x = 440,501,171.32
  5. Step 5: Solve for x
    x = 440,501,171.32/31,505.39
  6. Step 6: Final answer
    x = 13,981.77

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