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Finding the Fourth Proportional to 35,674.61, 49,230.46 and 20,567.30

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Solution

The fourth proportional to 35,674.61, 49,230.46 and 20,567.30 is: 28,382.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,674.61 : 49,230.46 = 20,567.30 : x
  2. Step 2: Convert to fraction form
    35,674.61/49,230.46 = 20,567.30/x
  3. Step 3: Cross multiply
    35,674.61x = 49,230.46 × 20,567.30
  4. Step 4: Simplify right side
    35,674.61x = 1,012,537,639.96
  5. Step 5: Solve for x
    x = 1,012,537,639.96/35,674.61
  6. Step 6: Final answer
    x = 28,382.58

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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.