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Finding the Fourth Proportional to 46,473.50, 69,671.05 and 20,158.42

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Solution

The fourth proportional to 46,473.50, 69,671.05 and 20,158.42 is: 30,220.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,473.50 : 69,671.05 = 20,158.42 : x
  2. Step 2: Convert to fraction form
    46,473.50/69,671.05 = 20,158.42/x
  3. Step 3: Cross multiply
    46,473.50x = 69,671.05 × 20,158.42
  4. Step 4: Simplify right side
    46,473.50x = 1,404,458,287.74
  5. Step 5: Solve for x
    x = 1,404,458,287.74/46,473.50
  6. Step 6: Final answer
    x = 30,220.63

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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.