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Finding the Fourth Proportional to 37,657.20, 51,924.52 and 30,830

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Solution

The fourth proportional to 37,657.20, 51,924.52 and 30,830 is: 42,510.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,657.20 : 51,924.52 = 30,830 : x
  2. Step 2: Convert to fraction form
    37,657.20/51,924.52 = 30,830/x
  3. Step 3: Cross multiply
    37,657.20x = 51,924.52 × 30,830
  4. Step 4: Simplify right side
    37,657.20x = 1,600,832,951.60
  5. Step 5: Solve for x
    x = 1,600,832,951.60/37,657.20
  6. Step 6: Final answer
    x = 42,510.67

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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.