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Finding the Fourth Proportional to 31,663.65, 47,466.32 and 15,031.52

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Solution

The fourth proportional to 31,663.65, 47,466.32 and 15,031.52 is: 22,533.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,663.65 : 47,466.32 = 15,031.52 : x
  2. Step 2: Convert to fraction form
    31,663.65/47,466.32 = 15,031.52/x
  3. Step 3: Cross multiply
    31,663.65x = 47,466.32 × 15,031.52
  4. Step 4: Simplify right side
    31,663.65x = 713,490,625.92
  5. Step 5: Solve for x
    x = 713,490,625.92/31,663.65
  6. Step 6: Final answer
    x = 22,533.43

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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.