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Finding the Fourth Proportional to 65,384.65, 90,228.09 and 37,095.67

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Solution

The fourth proportional to 65,384.65, 90,228.09 and 37,095.67 is: 51,190.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,384.65 : 90,228.09 = 37,095.67 : x
  2. Step 2: Convert to fraction form
    65,384.65/90,228.09 = 37,095.67/x
  3. Step 3: Cross multiply
    65,384.65x = 90,228.09 × 37,095.67
  4. Step 4: Simplify right side
    65,384.65x = 3,347,071,451.37
  5. Step 5: Solve for x
    x = 3,347,071,451.37/65,384.65
  6. Step 6: Final answer
    x = 51,190.48

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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.