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Finding the Fourth Proportional to 49,457.64, 68,264.46 and 28,244.28

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Solution

The fourth proportional to 49,457.64, 68,264.46 and 28,244.28 is: 38,984.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,457.64 : 68,264.46 = 28,244.28 : x
  2. Step 2: Convert to fraction form
    49,457.64/68,264.46 = 28,244.28/x
  3. Step 3: Cross multiply
    49,457.64x = 68,264.46 × 28,244.28
  4. Step 4: Simplify right side
    49,457.64x = 1,928,080,522.29
  5. Step 5: Solve for x
    x = 1,928,080,522.29/49,457.64
  6. Step 6: Final answer
    x = 38,984.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.