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Finding the Fourth Proportional to 30,546.44, 45,821.40 and 9,488.48

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Solution

The fourth proportional to 30,546.44, 45,821.40 and 9,488.48 is: 14,233.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,546.44 : 45,821.40 = 9,488.48 : x
  2. Step 2: Convert to fraction form
    30,546.44/45,821.40 = 9,488.48/x
  3. Step 3: Cross multiply
    30,546.44x = 45,821.40 × 9,488.48
  4. Step 4: Simplify right side
    30,546.44x = 434,775,437.47
  5. Step 5: Solve for x
    x = 434,775,437.47/30,546.44
  6. Step 6: Final answer
    x = 14,233.26

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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.