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Finding the Fourth Proportional to 30,641.40, 45,928.26 and 15,851.16

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Solution

The fourth proportional to 30,641.40, 45,928.26 and 15,851.16 is: 23,759.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,641.40 : 45,928.26 = 15,851.16 : x
  2. Step 2: Convert to fraction form
    30,641.40/45,928.26 = 15,851.16/x
  3. Step 3: Cross multiply
    30,641.40x = 45,928.26 × 15,851.16
  4. Step 4: Simplify right side
    30,641.40x = 728,016,197.78
  5. Step 5: Solve for x
    x = 728,016,197.78/30,641.40
  6. Step 6: Final answer
    x = 23,759.23

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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.