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Finding the Fourth Proportional to 30,967.80, 46,451.88 and 7,594.26

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Solution

The fourth proportional to 30,967.80, 46,451.88 and 7,594.26 is: 11,391.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,967.80 : 46,451.88 = 7,594.26 : x
  2. Step 2: Convert to fraction form
    30,967.80/46,451.88 = 7,594.26/x
  3. Step 3: Cross multiply
    30,967.80x = 46,451.88 × 7,594.26
  4. Step 4: Simplify right side
    30,967.80x = 352,767,654.21
  5. Step 5: Solve for x
    x = 352,767,654.21/30,967.80
  6. Step 6: Final answer
    x = 11,391.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.