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Finding the Fourth Proportional to 70,286.50, 105,444.34 and 28,733.50

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Solution

The fourth proportional to 70,286.50, 105,444.34 and 28,733.50 is: 43,106.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,286.50 : 105,444.34 = 28,733.50 : x
  2. Step 2: Convert to fraction form
    70,286.50/105,444.34 = 28,733.50/x
  3. Step 3: Cross multiply
    70,286.50x = 105,444.34 × 28,733.50
  4. Step 4: Simplify right side
    70,286.50x = 3,029,784,943.39
  5. Step 5: Solve for x
    x = 3,029,784,943.39/70,286.50
  6. Step 6: Final answer
    x = 43,106.21

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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.