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Finding the Fourth Proportional to 35,999.10, 53,991.09 and 9,697.50

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Solution

The fourth proportional to 35,999.10, 53,991.09 and 9,697.50 is: 14,544.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,999.10 : 53,991.09 = 9,697.50 : x
  2. Step 2: Convert to fraction form
    35,999.10/53,991.09 = 9,697.50/x
  3. Step 3: Cross multiply
    35,999.10x = 53,991.09 × 9,697.50
  4. Step 4: Simplify right side
    35,999.10x = 523,578,595.28
  5. Step 5: Solve for x
    x = 523,578,595.28/35,999.10
  6. Step 6: Final answer
    x = 14,544.21

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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.