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Finding the Fourth Proportional to 70,165.67, 105,223.70 and 20,232.29

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Solution

The fourth proportional to 70,165.67, 105,223.70 and 20,232.29 is: 30,341.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,165.67 : 105,223.70 = 20,232.29 : x
  2. Step 2: Convert to fraction form
    70,165.67/105,223.70 = 20,232.29/x
  3. Step 3: Cross multiply
    70,165.67x = 105,223.70 × 20,232.29
  4. Step 4: Simplify right side
    70,165.67x = 2,128,915,785.99
  5. Step 5: Solve for x
    x = 2,128,915,785.99/70,165.67
  6. Step 6: Final answer
    x = 30,341.28

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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.