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Finding the Fourth Proportional to 30,431.62, 45,647.52 and 9,371.50

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Solution

The fourth proportional to 30,431.62, 45,647.52 and 9,371.50 is: 14,057.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,431.62 : 45,647.52 = 9,371.50 : x
  2. Step 2: Convert to fraction form
    30,431.62/45,647.52 = 9,371.50/x
  3. Step 3: Cross multiply
    30,431.62x = 45,647.52 × 9,371.50
  4. Step 4: Simplify right side
    30,431.62x = 427,785,733.68
  5. Step 5: Solve for x
    x = 427,785,733.68/30,431.62
  6. Step 6: Final answer
    x = 14,057.28

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1.5x scale

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.