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Finding the Fourth Proportional to 35,746.68, 49,324.86 and 20,433

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Solution

The fourth proportional to 35,746.68, 49,324.86 and 20,433 is: 28,194.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,746.68 : 49,324.86 = 20,433 : x
  2. Step 2: Convert to fraction form
    35,746.68/49,324.86 = 20,433/x
  3. Step 3: Cross multiply
    35,746.68x = 49,324.86 × 20,433
  4. Step 4: Simplify right side
    35,746.68x = 1,007,854,864.38
  5. Step 5: Solve for x
    x = 1,007,854,864.38/35,746.68
  6. Step 6: Final answer
    x = 28,194.36

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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.