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Finding the Fourth Proportional to 44,980.64, 67,467.72 and 13,814

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Solution

The fourth proportional to 44,980.64, 67,467.72 and 13,814 is: 20,720.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,980.64 : 67,467.72 = 13,814 : x
  2. Step 2: Convert to fraction form
    44,980.64/67,467.72 = 13,814/x
  3. Step 3: Cross multiply
    44,980.64x = 67,467.72 × 13,814
  4. Step 4: Simplify right side
    44,980.64x = 931,999,084.08
  5. Step 5: Solve for x
    x = 931,999,084.08/44,980.64
  6. Step 6: Final answer
    x = 20,720.00

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Why These Related Problems?

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