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Finding the Fourth Proportional to 72,378.90, 108,563.13 and 22,457.70

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Solution

The fourth proportional to 72,378.90, 108,563.13 and 22,457.70 is: 33,684.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,378.90 : 108,563.13 = 22,457.70 : x
  2. Step 2: Convert to fraction form
    72,378.90/108,563.13 = 22,457.70/x
  3. Step 3: Cross multiply
    72,378.90x = 108,563.13 × 22,457.70
  4. Step 4: Simplify right side
    72,378.90x = 2,438,078,204.60
  5. Step 5: Solve for x
    x = 2,438,078,204.60/72,378.90
  6. Step 6: Final answer
    x = 33,684.93

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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.