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Finding the Fourth Proportional to 31,498.84, 47,252.87 and 11,509.32

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Solution

The fourth proportional to 31,498.84, 47,252.87 and 11,509.32 is: 17,265.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,498.84 : 47,252.87 = 11,509.32 : x
  2. Step 2: Convert to fraction form
    31,498.84/47,252.87 = 11,509.32/x
  3. Step 3: Cross multiply
    31,498.84x = 47,252.87 × 11,509.32
  4. Step 4: Simplify right side
    31,498.84x = 543,848,165.86
  5. Step 5: Solve for x
    x = 543,848,165.86/31,498.84
  6. Step 6: Final answer
    x = 17,265.66

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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.