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Finding the Fourth Proportional to 70,390.56, 105,602.16 and 20,471.84

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Solution

The fourth proportional to 70,390.56, 105,602.16 and 20,471.84 is: 30,712.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,390.56 : 105,602.16 = 20,471.84 : x
  2. Step 2: Convert to fraction form
    70,390.56/105,602.16 = 20,471.84/x
  3. Step 3: Cross multiply
    70,390.56x = 105,602.16 × 20,471.84
  4. Step 4: Simplify right side
    70,390.56x = 2,161,870,523.17
  5. Step 5: Solve for x
    x = 2,161,870,523.17/70,390.56
  6. Step 6: Final answer
    x = 30,712.51

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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.