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Finding the Fourth Proportional to 36,276.24, 54,416.40 and 9,980.40

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Solution

The fourth proportional to 36,276.24, 54,416.40 and 9,980.40 is: 14,971.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,276.24 : 54,416.40 = 9,980.40 : x
  2. Step 2: Convert to fraction form
    36,276.24/54,416.40 = 9,980.40/x
  3. Step 3: Cross multiply
    36,276.24x = 54,416.40 × 9,980.40
  4. Step 4: Simplify right side
    36,276.24x = 543,097,438.56
  5. Step 5: Solve for x
    x = 543,097,438.56/36,276.24
  6. Step 6: Final answer
    x = 14,971.16

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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.