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Finding the Fourth Proportional to 70,141.95, 105,213.53 and 20,222.16

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Solution

The fourth proportional to 70,141.95, 105,213.53 and 20,222.16 is: 30,333.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,141.95 : 105,213.53 = 20,222.16 : x
  2. Step 2: Convert to fraction form
    70,141.95/105,213.53 = 20,222.16/x
  3. Step 3: Cross multiply
    70,141.95x = 105,213.53 × 20,222.16
  4. Step 4: Simplify right side
    70,141.95x = 2,127,644,493.83
  5. Step 5: Solve for x
    x = 2,127,644,493.83/70,141.95
  6. Step 6: Final answer
    x = 30,333.41

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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.