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Finding the Fourth Proportional to 25,802.82, 35,376 and 25,336.26

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Solution

The fourth proportional to 25,802.82, 35,376 and 25,336.26 is: 34,736.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,802.82 : 35,376 = 25,336.26 : x
  2. Step 2: Convert to fraction form
    25,802.82/35,376 = 25,336.26/x
  3. Step 3: Cross multiply
    25,802.82x = 35,376 × 25,336.26
  4. Step 4: Simplify right side
    25,802.82x = 896,295,533.76
  5. Step 5: Solve for x
    x = 896,295,533.76/25,802.82
  6. Step 6: Final answer
    x = 34,736.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.