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Finding the Fourth Proportional to 30,783.26, 46,207.70 and 29,667.90

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Solution

The fourth proportional to 30,783.26, 46,207.70 and 29,667.90 is: 44,533.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,783.26 : 46,207.70 = 29,667.90 : x
  2. Step 2: Convert to fraction form
    30,783.26/46,207.70 = 29,667.90/x
  3. Step 3: Cross multiply
    30,783.26x = 46,207.70 × 29,667.90
  4. Step 4: Simplify right side
    30,783.26x = 1,370,885,422.83
  5. Step 5: Solve for x
    x = 1,370,885,422.83/30,783.26
  6. Step 6: Final answer
    x = 44,533.47

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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.