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Finding the Fourth Proportional to 53,703.40, 80,583.90 and 22,541.80

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Solution

The fourth proportional to 53,703.40, 80,583.90 and 22,541.80 is: 33,824.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,703.40 : 80,583.90 = 22,541.80 : x
  2. Step 2: Convert to fraction form
    53,703.40/80,583.90 = 22,541.80/x
  3. Step 3: Cross multiply
    53,703.40x = 80,583.90 × 22,541.80
  4. Step 4: Simplify right side
    53,703.40x = 1,816,506,157.02
  5. Step 5: Solve for x
    x = 1,816,506,157.02/53,703.40
  6. Step 6: Final answer
    x = 33,824.79

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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.