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Finding the Fourth Proportional to 35,675.28, 49,237.08 and 20,565.06

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Solution

The fourth proportional to 35,675.28, 49,237.08 and 20,565.06 is: 28,382.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,675.28 : 49,237.08 = 20,565.06 : x
  2. Step 2: Convert to fraction form
    35,675.28/49,237.08 = 20,565.06/x
  3. Step 3: Cross multiply
    35,675.28x = 49,237.08 × 20,565.06
  4. Step 4: Simplify right side
    35,675.28x = 1,012,563,504.42
  5. Step 5: Solve for x
    x = 1,012,563,504.42/35,675.28
  6. Step 6: Final answer
    x = 28,382.78

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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.