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Finding the Fourth Proportional to 37,152, 51,270.66 and 20,385

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Solution

The fourth proportional to 37,152, 51,270.66 and 20,385 is: 28,131.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,152 : 51,270.66 = 20,385 : x
  2. Step 2: Convert to fraction form
    37,152/51,270.66 = 20,385/x
  3. Step 3: Cross multiply
    37,152x = 51,270.66 × 20,385
  4. Step 4: Simplify right side
    37,152x = 1,045,152,404.10
  5. Step 5: Solve for x
    x = 1,045,152,404.10/37,152
  6. Step 6: Final answer
    x = 28,131.79

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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.