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Finding the Fourth Proportional to 35,622, 53,433 and 14,845.50

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Solution

The fourth proportional to 35,622, 53,433 and 14,845.50 is: 22,268.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,622 : 53,433 = 14,845.50 : x
  2. Step 2: Convert to fraction form
    35,622/53,433 = 14,845.50/x
  3. Step 3: Cross multiply
    35,622x = 53,433 × 14,845.50
  4. Step 4: Simplify right side
    35,622x = 793,239,601.50
  5. Step 5: Solve for x
    x = 793,239,601.50/35,622
  6. Step 6: Final answer
    x = 22,268.25

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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.