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Finding the Fourth Proportional to 35,939.76, 53,906.76 and 9,644.40

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Solution

The fourth proportional to 35,939.76, 53,906.76 and 9,644.40 is: 14,465.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,939.76 : 53,906.76 = 9,644.40 : x
  2. Step 2: Convert to fraction form
    35,939.76/53,906.76 = 9,644.40/x
  3. Step 3: Cross multiply
    35,939.76x = 53,906.76 × 9,644.40
  4. Step 4: Simplify right side
    35,939.76x = 519,898,356.14
  5. Step 5: Solve for x
    x = 519,898,356.14/35,939.76
  6. Step 6: Final answer
    x = 14,465.83

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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.