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Finding the Fourth Proportional to 30,520.40, 45,683.40 and 21,772.40

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Solution

The fourth proportional to 30,520.40, 45,683.40 and 21,772.40 is: 32,589.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,520.40 : 45,683.40 = 21,772.40 : x
  2. Step 2: Convert to fraction form
    30,520.40/45,683.40 = 21,772.40/x
  3. Step 3: Cross multiply
    30,520.40x = 45,683.40 × 21,772.40
  4. Step 4: Simplify right side
    30,520.40x = 994,637,258.16
  5. Step 5: Solve for x
    x = 994,637,258.16/30,520.40
  6. Step 6: Final answer
    x = 32,589.26

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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.