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Finding the Fourth Proportional to 55,806.40, 83,723.10 and 16,364.80

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Solution

The fourth proportional to 55,806.40, 83,723.10 and 16,364.80 is: 24,551.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,806.40 : 83,723.10 = 16,364.80 : x
  2. Step 2: Convert to fraction form
    55,806.40/83,723.10 = 16,364.80/x
  3. Step 3: Cross multiply
    55,806.40x = 83,723.10 × 16,364.80
  4. Step 4: Simplify right side
    55,806.40x = 1,370,111,786.88
  5. Step 5: Solve for x
    x = 1,370,111,786.88/55,806.40
  6. Step 6: Final answer
    x = 24,551.16

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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.