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Finding the Fourth Proportional to 53,646.28, 80,450.70 and 22,047.28

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Solution

The fourth proportional to 53,646.28, 80,450.70 and 22,047.28 is: 33,063.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,646.28 : 80,450.70 = 22,047.28 : x
  2. Step 2: Convert to fraction form
    53,646.28/80,450.70 = 22,047.28/x
  3. Step 3: Cross multiply
    53,646.28x = 80,450.70 × 22,047.28
  4. Step 4: Simplify right side
    53,646.28x = 1,773,719,109.10
  5. Step 5: Solve for x
    x = 1,773,719,109.10/53,646.28
  6. Step 6: Final answer
    x = 33,063.23

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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.