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Finding the Fourth Proportional to 30,031.40, 44,985.60 and 16,856.12

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Solution

The fourth proportional to 30,031.40, 44,985.60 and 16,856.12 is: 25,249.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,031.40 : 44,985.60 = 16,856.12 : x
  2. Step 2: Convert to fraction form
    30,031.40/44,985.60 = 16,856.12/x
  3. Step 3: Cross multiply
    30,031.40x = 44,985.60 × 16,856.12
  4. Step 4: Simplify right side
    30,031.40x = 758,282,671.87
  5. Step 5: Solve for x
    x = 758,282,671.87/30,031.40
  6. Step 6: Final answer
    x = 25,249.66

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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.