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Finding the Fourth Proportional to 72,378.40, 108,562.38 and 22,457.20

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Solution

The fourth proportional to 72,378.40, 108,562.38 and 22,457.20 is: 33,684.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,378.40 : 108,562.38 = 22,457.20 : x
  2. Step 2: Convert to fraction form
    72,378.40/108,562.38 = 22,457.20/x
  3. Step 3: Cross multiply
    72,378.40x = 108,562.38 × 22,457.20
  4. Step 4: Simplify right side
    72,378.40x = 2,438,007,080.14
  5. Step 5: Solve for x
    x = 2,438,007,080.14/72,378.40
  6. Step 6: Final answer
    x = 33,684.18

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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.