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Finding the Fourth Proportional to 35,675.94, 49,232.06 and 19,760.52

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Solution

The fourth proportional to 35,675.94, 49,232.06 and 19,760.52 is: 27,269.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,675.94 : 49,232.06 = 19,760.52 : x
  2. Step 2: Convert to fraction form
    35,675.94/49,232.06 = 19,760.52/x
  3. Step 3: Cross multiply
    35,675.94x = 49,232.06 × 19,760.52
  4. Step 4: Simplify right side
    35,675.94x = 972,851,106.27
  5. Step 5: Solve for x
    x = 972,851,106.27/35,675.94
  6. Step 6: Final answer
    x = 27,269.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.