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Finding the Fourth Proportional to 35,812.25, 53,704.47 and 12,113.46

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Solution

The fourth proportional to 35,812.25, 53,704.47 and 12,113.46 is: 18,165.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,812.25 : 53,704.47 = 12,113.46 : x
  2. Step 2: Convert to fraction form
    35,812.25/53,704.47 = 12,113.46/x
  3. Step 3: Cross multiply
    35,812.25x = 53,704.47 × 12,113.46
  4. Step 4: Simplify right side
    35,812.25x = 650,546,949.17
  5. Step 5: Solve for x
    x = 650,546,949.17/35,812.25
  6. Step 6: Final answer
    x = 18,165.49

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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.