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Finding the Fourth Proportional to 103,462.40, 155,193.60 and 36,977.60

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Solution

The fourth proportional to 103,462.40, 155,193.60 and 36,977.60 is: 55,466.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,462.40 : 155,193.60 = 36,977.60 : x
  2. Step 2: Convert to fraction form
    103,462.40/155,193.60 = 36,977.60/x
  3. Step 3: Cross multiply
    103,462.40x = 155,193.60 × 36,977.60
  4. Step 4: Simplify right side
    103,462.40x = 5,738,686,863.36
  5. Step 5: Solve for x
    x = 5,738,686,863.36/103,462.40
  6. Step 6: Final answer
    x = 55,466.40

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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.