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Finding the Fourth Proportional to 76,149.16, 114,223.58 and 20,745

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Solution

The fourth proportional to 76,149.16, 114,223.58 and 20,745 is: 31,117.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,149.16 : 114,223.58 = 20,745 : x
  2. Step 2: Convert to fraction form
    76,149.16/114,223.58 = 20,745/x
  3. Step 3: Cross multiply
    76,149.16x = 114,223.58 × 20,745
  4. Step 4: Simplify right side
    76,149.16x = 2,369,568,167.10
  5. Step 5: Solve for x
    x = 2,369,568,167.10/76,149.16
  6. Step 6: Final answer
    x = 31,117.46

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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.