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Finding the Fourth Proportional to 65,084.32, 97,626.45 and 33,980.32

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Solution

The fourth proportional to 65,084.32, 97,626.45 and 33,980.32 is: 50,970.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,084.32 : 97,626.45 = 33,980.32 : x
  2. Step 2: Convert to fraction form
    65,084.32/97,626.45 = 33,980.32/x
  3. Step 3: Cross multiply
    65,084.32x = 97,626.45 × 33,980.32
  4. Step 4: Simplify right side
    65,084.32x = 3,317,378,011.46
  5. Step 5: Solve for x
    x = 3,317,378,011.46/65,084.32
  6. Step 6: Final answer
    x = 50,970.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.