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Finding the Fourth Proportional to 70,019.92, 105,029.24 and 32,568.40

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Solution

The fourth proportional to 70,019.92, 105,029.24 and 32,568.40 is: 48,852.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,019.92 : 105,029.24 = 32,568.40 : x
  2. Step 2: Convert to fraction form
    70,019.92/105,029.24 = 32,568.40/x
  3. Step 3: Cross multiply
    70,019.92x = 105,029.24 × 32,568.40
  4. Step 4: Simplify right side
    70,019.92x = 3,420,634,300.02
  5. Step 5: Solve for x
    x = 3,420,634,300.02/70,019.92
  6. Step 6: Final answer
    x = 48,852.30

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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.