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Finding the Fourth Proportional to 57,821.76, 79,802.64 and 35,164.44

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Solution

The fourth proportional to 57,821.76, 79,802.64 and 35,164.44 is: 48,532.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,821.76 : 79,802.64 = 35,164.44 : x
  2. Step 2: Convert to fraction form
    57,821.76/79,802.64 = 35,164.44/x
  3. Step 3: Cross multiply
    57,821.76x = 79,802.64 × 35,164.44
  4. Step 4: Simplify right side
    57,821.76x = 2,806,215,146.12
  5. Step 5: Solve for x
    x = 2,806,215,146.12/57,821.76
  6. Step 6: Final answer
    x = 48,532.16

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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.