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Finding the Fourth Proportional to 55,669.80, 83,504.70 and 14,116.80

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Solution

The fourth proportional to 55,669.80, 83,504.70 and 14,116.80 is: 21,175.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,669.80 : 83,504.70 = 14,116.80 : x
  2. Step 2: Convert to fraction form
    55,669.80/83,504.70 = 14,116.80/x
  3. Step 3: Cross multiply
    55,669.80x = 83,504.70 × 14,116.80
  4. Step 4: Simplify right side
    55,669.80x = 1,178,819,148.96
  5. Step 5: Solve for x
    x = 1,178,819,148.96/55,669.80
  6. Step 6: Final answer
    x = 21,175.20

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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.