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Finding the Fourth Proportional to 35,792.70, 53,643.15 and 19,997.70

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Solution

The fourth proportional to 35,792.70, 53,643.15 and 19,997.70 is: 29,970.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,792.70 : 53,643.15 = 19,997.70 : x
  2. Step 2: Convert to fraction form
    35,792.70/53,643.15 = 19,997.70/x
  3. Step 3: Cross multiply
    35,792.70x = 53,643.15 × 19,997.70
  4. Step 4: Simplify right side
    35,792.70x = 1,072,739,620.76
  5. Step 5: Solve for x
    x = 1,072,739,620.76/35,792.70
  6. Step 6: Final answer
    x = 29,970.91

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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.