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Finding the Fourth Proportional to 35,406.30, 53,121.75 and 15,698.70

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Solution

The fourth proportional to 35,406.30, 53,121.75 and 15,698.70 is: 23,553.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,406.30 : 53,121.75 = 15,698.70 : x
  2. Step 2: Convert to fraction form
    35,406.30/53,121.75 = 15,698.70/x
  3. Step 3: Cross multiply
    35,406.30x = 53,121.75 × 15,698.70
  4. Step 4: Simplify right side
    35,406.30x = 833,942,416.73
  5. Step 5: Solve for x
    x = 833,942,416.73/35,406.30
  6. Step 6: Final answer
    x = 23,553.50

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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.