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Finding the Fourth Proportional to 35,794.51, 53,669.70 and 12,099.81

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Solution

The fourth proportional to 35,794.51, 53,669.70 and 12,099.81 is: 18,142.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,794.51 : 53,669.70 = 12,099.81 : x
  2. Step 2: Convert to fraction form
    35,794.51/53,669.70 = 12,099.81/x
  3. Step 3: Cross multiply
    35,794.51x = 53,669.70 × 12,099.81
  4. Step 4: Simplify right side
    35,794.51x = 649,393,374.02
  5. Step 5: Solve for x
    x = 649,393,374.02/35,794.51
  6. Step 6: Final answer
    x = 18,142.26

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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.