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Finding the Fourth Proportional to 72,966.96, 109,453.74 and 22,362.35

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Solution

The fourth proportional to 72,966.96, 109,453.74 and 22,362.35 is: 33,544.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,966.96 : 109,453.74 = 22,362.35 : x
  2. Step 2: Convert to fraction form
    72,966.96/109,453.74 = 22,362.35/x
  3. Step 3: Cross multiply
    72,966.96x = 109,453.74 × 22,362.35
  4. Step 4: Simplify right side
    72,966.96x = 2,447,642,295.42
  5. Step 5: Solve for x
    x = 2,447,642,295.42/72,966.96
  6. Step 6: Final answer
    x = 33,544.53

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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.