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Finding the Fourth Proportional to 35,338.52, 48,767.16 and 19,424

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Solution

The fourth proportional to 35,338.52, 48,767.16 and 19,424 is: 26,805.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,338.52 : 48,767.16 = 19,424 : x
  2. Step 2: Convert to fraction form
    35,338.52/48,767.16 = 19,424/x
  3. Step 3: Cross multiply
    35,338.52x = 48,767.16 × 19,424
  4. Step 4: Simplify right side
    35,338.52x = 947,253,315.84
  5. Step 5: Solve for x
    x = 947,253,315.84/35,338.52
  6. Step 6: Final answer
    x = 26,805.12

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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.