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Finding the Fourth Proportional to 30,496.40, 45,761.52 and 14,914.16

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Solution

The fourth proportional to 30,496.40, 45,761.52 and 14,914.16 is: 22,379.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,496.40 : 45,761.52 = 14,914.16 : x
  2. Step 2: Convert to fraction form
    30,496.40/45,761.52 = 14,914.16/x
  3. Step 3: Cross multiply
    30,496.40x = 45,761.52 × 14,914.16
  4. Step 4: Simplify right side
    30,496.40x = 682,494,631.12
  5. Step 5: Solve for x
    x = 682,494,631.12/30,496.40
  6. Step 6: Final answer
    x = 22,379.51

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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.