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Finding the Fourth Proportional to 65,202, 89,980.68 and 35,395.92

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Solution

The fourth proportional to 65,202, 89,980.68 and 35,395.92 is: 48,847.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,202 : 89,980.68 = 35,395.92 : x
  2. Step 2: Convert to fraction form
    65,202/89,980.68 = 35,395.92/x
  3. Step 3: Cross multiply
    65,202x = 89,980.68 × 35,395.92
  4. Step 4: Simplify right side
    65,202x = 3,184,948,950.83
  5. Step 5: Solve for x
    x = 3,184,948,950.83/65,202
  6. Step 6: Final answer
    x = 48,847.41

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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.