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Finding the Fourth Proportional to 65,499.08, 90,384.78 and 38,650

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Solution

The fourth proportional to 65,499.08, 90,384.78 and 38,650 is: 53,334.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,499.08 : 90,384.78 = 38,650 : x
  2. Step 2: Convert to fraction form
    65,499.08/90,384.78 = 38,650/x
  3. Step 3: Cross multiply
    65,499.08x = 90,384.78 × 38,650
  4. Step 4: Simplify right side
    65,499.08x = 3,493,371,747
  5. Step 5: Solve for x
    x = 3,493,371,747/65,499.08
  6. Step 6: Final answer
    x = 53,334.67

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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.