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Finding the Fourth Proportional to 30,744.48, 46,113.84 and 9,968.16

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Solution

The fourth proportional to 30,744.48, 46,113.84 and 9,968.16 is: 14,951.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,744.48 : 46,113.84 = 9,968.16 : x
  2. Step 2: Convert to fraction form
    30,744.48/46,113.84 = 9,968.16/x
  3. Step 3: Cross multiply
    30,744.48x = 46,113.84 × 9,968.16
  4. Step 4: Simplify right side
    30,744.48x = 459,670,135.33
  5. Step 5: Solve for x
    x = 459,670,135.33/30,744.48
  6. Step 6: Final answer
    x = 14,951.31

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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.