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Finding the Fourth Proportional to 72,378.53, 108,562.57 and 22,457.36

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Solution

The fourth proportional to 72,378.53, 108,562.57 and 22,457.36 is: 33,684.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,378.53 : 108,562.57 = 22,457.36 : x
  2. Step 2: Convert to fraction form
    72,378.53/108,562.57 = 22,457.36/x
  3. Step 3: Cross multiply
    72,378.53x = 108,562.57 × 22,457.36
  4. Step 4: Simplify right side
    72,378.53x = 2,438,028,118.06
  5. Step 5: Solve for x
    x = 2,438,028,118.06/72,378.53
  6. Step 6: Final answer
    x = 33,684.41

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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.