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Finding the Fourth Proportional to 37,105.80, 55,658.70 and 9,403.80

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Solution

The fourth proportional to 37,105.80, 55,658.70 and 9,403.80 is: 14,105.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,105.80 : 55,658.70 = 9,403.80 : x
  2. Step 2: Convert to fraction form
    37,105.80/55,658.70 = 9,403.80/x
  3. Step 3: Cross multiply
    37,105.80x = 55,658.70 × 9,403.80
  4. Step 4: Simplify right side
    37,105.80x = 523,403,283.06
  5. Step 5: Solve for x
    x = 523,403,283.06/37,105.80
  6. Step 6: Final answer
    x = 14,105.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.