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Finding the Fourth Proportional to 30,235.50, 45,348.39 and 21,443.76

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Solution

The fourth proportional to 30,235.50, 45,348.39 and 21,443.76 is: 32,162.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,235.50 : 45,348.39 = 21,443.76 : x
  2. Step 2: Convert to fraction form
    30,235.50/45,348.39 = 21,443.76/x
  3. Step 3: Cross multiply
    30,235.50x = 45,348.39 × 21,443.76
  4. Step 4: Simplify right side
    30,235.50x = 972,439,991.55
  5. Step 5: Solve for x
    x = 972,439,991.55/30,235.50
  6. Step 6: Final answer
    x = 32,162.19

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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.