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Finding the Fourth Proportional to 16,031.58, 24,050 and 4,938.27

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Solution

The fourth proportional to 16,031.58, 24,050 and 4,938.27 is: 7,408.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,031.58 : 24,050 = 4,938.27 : x
  2. Step 2: Convert to fraction form
    16,031.58/24,050 = 4,938.27/x
  3. Step 3: Cross multiply
    16,031.58x = 24,050 × 4,938.27
  4. Step 4: Simplify right side
    16,031.58x = 118,765,393.50
  5. Step 5: Solve for x
    x = 118,765,393.50/16,031.58
  6. Step 6: Final answer
    x = 7,408.22

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Why These Related Problems?

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