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Finding the Fourth Proportional to 35,674.49, 49,230.29 and 20,567.18

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Solution

The fourth proportional to 35,674.49, 49,230.29 and 20,567.18 is: 28,382.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,674.49 : 49,230.29 = 20,567.18 : x
  2. Step 2: Convert to fraction form
    35,674.49/49,230.29 = 20,567.18/x
  3. Step 3: Cross multiply
    35,674.49x = 49,230.29 × 20,567.18
  4. Step 4: Simplify right side
    35,674.49x = 1,012,527,886.89
  5. Step 5: Solve for x
    x = 1,012,527,886.89/35,674.49
  6. Step 6: Final answer
    x = 28,382.41

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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.