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Finding the Fourth Proportional to 35,873.87, 53,810.85 and 17,149.50

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Solution

The fourth proportional to 35,873.87, 53,810.85 and 17,149.50 is: 25,724.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,873.87 : 53,810.85 = 17,149.50 : x
  2. Step 2: Convert to fraction form
    35,873.87/53,810.85 = 17,149.50/x
  3. Step 3: Cross multiply
    35,873.87x = 53,810.85 × 17,149.50
  4. Step 4: Simplify right side
    35,873.87x = 922,829,172.08
  5. Step 5: Solve for x
    x = 922,829,172.08/35,873.87
  6. Step 6: Final answer
    x = 25,724.28

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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.