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Finding the Fourth Proportional to 35,942.94, 53,909.55 and 9,647.91

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Solution

The fourth proportional to 35,942.94, 53,909.55 and 9,647.91 is: 14,470.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,942.94 : 53,909.55 = 9,647.91 : x
  2. Step 2: Convert to fraction form
    35,942.94/53,909.55 = 9,647.91/x
  3. Step 3: Cross multiply
    35,942.94x = 53,909.55 × 9,647.91
  4. Step 4: Simplify right side
    35,942.94x = 520,114,486.54
  5. Step 5: Solve for x
    x = 520,114,486.54/35,942.94
  6. Step 6: Final answer
    x = 14,470.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.