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Finding the Fourth Proportional to 44,162.64, 66,293.12 and 21,970

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Solution

The fourth proportional to 44,162.64, 66,293.12 and 21,970 is: 32,979.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,162.64 : 66,293.12 = 21,970 : x
  2. Step 2: Convert to fraction form
    44,162.64/66,293.12 = 21,970/x
  3. Step 3: Cross multiply
    44,162.64x = 66,293.12 × 21,970
  4. Step 4: Simplify right side
    44,162.64x = 1,456,459,846.40
  5. Step 5: Solve for x
    x = 1,456,459,846.40/44,162.64
  6. Step 6: Final answer
    x = 32,979.46

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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.