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Finding the Fourth Proportional to 50,341.76, 69,472 and 27,683.20

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Solution

The fourth proportional to 50,341.76, 69,472 and 27,683.20 is: 38,203.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,341.76 : 69,472 = 27,683.20 : x
  2. Step 2: Convert to fraction form
    50,341.76/69,472 = 27,683.20/x
  3. Step 3: Cross multiply
    50,341.76x = 69,472 × 27,683.20
  4. Step 4: Simplify right side
    50,341.76x = 1,923,207,270.40
  5. Step 5: Solve for x
    x = 1,923,207,270.40/50,341.76
  6. Step 6: Final answer
    x = 38,203.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.