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Finding the Fourth Proportional to 35,783.50, 53,694.40 and 27,478.38

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Solution

The fourth proportional to 35,783.50, 53,694.40 and 27,478.38 is: 41,232.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,783.50 : 53,694.40 = 27,478.38 : x
  2. Step 2: Convert to fraction form
    35,783.50/53,694.40 = 27,478.38/x
  3. Step 3: Cross multiply
    35,783.50x = 53,694.40 × 27,478.38
  4. Step 4: Simplify right side
    35,783.50x = 1,475,435,127.07
  5. Step 5: Solve for x
    x = 1,475,435,127.07/35,783.50
  6. Step 6: Final answer
    x = 41,232.28

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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.