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Finding the Fourth Proportional to 35,333.28, 48,802.68 and 25,758

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Solution

The fourth proportional to 35,333.28, 48,802.68 and 25,758 is: 35,577.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,333.28 : 48,802.68 = 25,758 : x
  2. Step 2: Convert to fraction form
    35,333.28/48,802.68 = 25,758/x
  3. Step 3: Cross multiply
    35,333.28x = 48,802.68 × 25,758
  4. Step 4: Simplify right side
    35,333.28x = 1,257,059,431.44
  5. Step 5: Solve for x
    x = 1,257,059,431.44/35,333.28
  6. Step 6: Final answer
    x = 35,577.21

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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.