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Finding the Fourth Proportional to 48,409.10, 72,622.14 and 22,116.50

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Solution

The fourth proportional to 48,409.10, 72,622.14 and 22,116.50 is: 33,178.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,409.10 : 72,622.14 = 22,116.50 : x
  2. Step 2: Convert to fraction form
    48,409.10/72,622.14 = 22,116.50/x
  3. Step 3: Cross multiply
    48,409.10x = 72,622.14 × 22,116.50
  4. Step 4: Simplify right side
    48,409.10x = 1,606,147,559.31
  5. Step 5: Solve for x
    x = 1,606,147,559.31/48,409.10
  6. Step 6: Final answer
    x = 33,178.63

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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.