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Finding the Fourth Proportional to 32,031.29, 48,076.47 and 16,247.41

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Solution

The fourth proportional to 32,031.29, 48,076.47 and 16,247.41 is: 24,386.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,031.29 : 48,076.47 = 16,247.41 : x
  2. Step 2: Convert to fraction form
    32,031.29/48,076.47 = 16,247.41/x
  3. Step 3: Cross multiply
    32,031.29x = 48,076.47 × 16,247.41
  4. Step 4: Simplify right side
    32,031.29x = 781,117,999.25
  5. Step 5: Solve for x
    x = 781,117,999.25/32,031.29
  6. Step 6: Final answer
    x = 24,386.09

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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.