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Finding the Fourth Proportional to 70,524.94, 105,787.78 and 23,778.22

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Solution

The fourth proportional to 70,524.94, 105,787.78 and 23,778.22 is: 35,667.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,524.94 : 105,787.78 = 23,778.22 : x
  2. Step 2: Convert to fraction form
    70,524.94/105,787.78 = 23,778.22/x
  3. Step 3: Cross multiply
    70,524.94x = 105,787.78 × 23,778.22
  4. Step 4: Simplify right side
    70,524.94x = 2,515,445,106.15
  5. Step 5: Solve for x
    x = 2,515,445,106.15/70,524.94
  6. Step 6: Final answer
    x = 35,667.45

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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.