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Finding the Fourth Proportional to 30,968.10, 46,452.15 and 7,594.34

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Solution

The fourth proportional to 30,968.10, 46,452.15 and 7,594.34 is: 11,391.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,968.10 : 46,452.15 = 7,594.34 : x
  2. Step 2: Convert to fraction form
    30,968.10/46,452.15 = 7,594.34/x
  3. Step 3: Cross multiply
    30,968.10x = 46,452.15 × 7,594.34
  4. Step 4: Simplify right side
    30,968.10x = 352,773,188.57
  5. Step 5: Solve for x
    x = 352,773,188.57/30,968.10
  6. Step 6: Final answer
    x = 11,391.50

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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.