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Finding the Fourth Proportional to 48,677.82, 73,017 and 20,590.80

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Solution

The fourth proportional to 48,677.82, 73,017 and 20,590.80 is: 30,886.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,677.82 : 73,017 = 20,590.80 : x
  2. Step 2: Convert to fraction form
    48,677.82/73,017 = 20,590.80/x
  3. Step 3: Cross multiply
    48,677.82x = 73,017 × 20,590.80
  4. Step 4: Simplify right side
    48,677.82x = 1,503,478,443.60
  5. Step 5: Solve for x
    x = 1,503,478,443.60/48,677.82
  6. Step 6: Final answer
    x = 30,886.31

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1.5x scale

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.