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Finding the Fourth Proportional to 35,468.13, 48,946.64 and 20,362.38

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Solution

The fourth proportional to 35,468.13, 48,946.64 and 20,362.38 is: 28,100.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,468.13 : 48,946.64 = 20,362.38 : x
  2. Step 2: Convert to fraction form
    35,468.13/48,946.64 = 20,362.38/x
  3. Step 3: Cross multiply
    35,468.13x = 48,946.64 × 20,362.38
  4. Step 4: Simplify right side
    35,468.13x = 996,670,083.40
  5. Step 5: Solve for x
    x = 996,670,083.40/35,468.13
  6. Step 6: Final answer
    x = 28,100.44

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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.