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Finding the Fourth Proportional to 31,353.16, 47,048.08 and 11,645.32

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Solution

The fourth proportional to 31,353.16, 47,048.08 and 11,645.32 is: 17,474.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,353.16 : 47,048.08 = 11,645.32 : x
  2. Step 2: Convert to fraction form
    31,353.16/47,048.08 = 11,645.32/x
  3. Step 3: Cross multiply
    31,353.16x = 47,048.08 × 11,645.32
  4. Step 4: Simplify right side
    31,353.16x = 547,889,946.99
  5. Step 5: Solve for x
    x = 547,889,946.99/31,353.16
  6. Step 6: Final answer
    x = 17,474.79

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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.