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Finding the Fourth Proportional to 37,197.36, 51,332.76 and 20,430

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Solution

The fourth proportional to 37,197.36, 51,332.76 and 20,430 is: 28,193.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,197.36 : 51,332.76 = 20,430 : x
  2. Step 2: Convert to fraction form
    37,197.36/51,332.76 = 20,430/x
  3. Step 3: Cross multiply
    37,197.36x = 51,332.76 × 20,430
  4. Step 4: Simplify right side
    37,197.36x = 1,048,728,286.80
  5. Step 5: Solve for x
    x = 1,048,728,286.80/37,197.36
  6. Step 6: Final answer
    x = 28,193.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.