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Finding the Fourth Proportional to 55,162.40, 82,743.60 and 49,038.80

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Solution

The fourth proportional to 55,162.40, 82,743.60 and 49,038.80 is: 73,558.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,162.40 : 82,743.60 = 49,038.80 : x
  2. Step 2: Convert to fraction form
    55,162.40/82,743.60 = 49,038.80/x
  3. Step 3: Cross multiply
    55,162.40x = 82,743.60 × 49,038.80
  4. Step 4: Simplify right side
    55,162.40x = 4,057,646,851.68
  5. Step 5: Solve for x
    x = 4,057,646,851.68/55,162.40
  6. Step 6: Final answer
    x = 73,558.20

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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.