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Finding the Fourth Proportional to 35,948.36, 49,607.64 and 20,841.32

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Solution

The fourth proportional to 35,948.36, 49,607.64 and 20,841.32 is: 28,760.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,948.36 : 49,607.64 = 20,841.32 : x
  2. Step 2: Convert to fraction form
    35,948.36/49,607.64 = 20,841.32/x
  3. Step 3: Cross multiply
    35,948.36x = 49,607.64 × 20,841.32
  4. Step 4: Simplify right side
    35,948.36x = 1,033,888,699.68
  5. Step 5: Solve for x
    x = 1,033,888,699.68/35,948.36
  6. Step 6: Final answer
    x = 28,760.39

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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.