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Finding the Fourth Proportional to 53,806.40, 80,680.80 and 22,606.40

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Solution

The fourth proportional to 53,806.40, 80,680.80 and 22,606.40 is: 33,897.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,806.40 : 80,680.80 = 22,606.40 : x
  2. Step 2: Convert to fraction form
    53,806.40/80,680.80 = 22,606.40/x
  3. Step 3: Cross multiply
    53,806.40x = 80,680.80 × 22,606.40
  4. Step 4: Simplify right side
    53,806.40x = 1,823,902,437.12
  5. Step 5: Solve for x
    x = 1,823,902,437.12/53,806.40
  6. Step 6: Final answer
    x = 33,897.50

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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.