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Finding the Fourth Proportional to 65,374.65, 90,214.29 and 37,085.67

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Solution

The fourth proportional to 65,374.65, 90,214.29 and 37,085.67 is: 51,176.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,374.65 : 90,214.29 = 37,085.67 : x
  2. Step 2: Convert to fraction form
    65,374.65/90,214.29 = 37,085.67/x
  3. Step 3: Cross multiply
    65,374.65x = 90,214.29 × 37,085.67
  4. Step 4: Simplify right side
    65,374.65x = 3,345,657,388.22
  5. Step 5: Solve for x
    x = 3,345,657,388.22/65,374.65
  6. Step 6: Final answer
    x = 51,176.68

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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.