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Finding the Fourth Proportional to 35,673, 53,509.50 and 14,896.50

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Solution

The fourth proportional to 35,673, 53,509.50 and 14,896.50 is: 22,344.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,673 : 53,509.50 = 14,896.50 : x
  2. Step 2: Convert to fraction form
    35,673/53,509.50 = 14,896.50/x
  3. Step 3: Cross multiply
    35,673x = 53,509.50 × 14,896.50
  4. Step 4: Simplify right side
    35,673x = 797,104,266.75
  5. Step 5: Solve for x
    x = 797,104,266.75/35,673
  6. Step 6: Final answer
    x = 22,344.75

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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.