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Finding the Fourth Proportional to 35,324, 48,747.66 and 19,408.76

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Solution

The fourth proportional to 35,324, 48,747.66 and 19,408.76 is: 26,784.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,324 : 48,747.66 = 19,408.76 : x
  2. Step 2: Convert to fraction form
    35,324/48,747.66 = 19,408.76/x
  3. Step 3: Cross multiply
    35,324x = 48,747.66 × 19,408.76
  4. Step 4: Simplify right side
    35,324x = 946,131,633.50
  5. Step 5: Solve for x
    x = 946,131,633.50/35,324
  6. Step 6: Final answer
    x = 26,784.39

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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.