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Finding the Fourth Proportional to 105,176.84, 157,766.10 and 35,056.22

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Solution

The fourth proportional to 105,176.84, 157,766.10 and 35,056.22 is: 52,584.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,176.84 : 157,766.10 = 35,056.22 : x
  2. Step 2: Convert to fraction form
    105,176.84/157,766.10 = 35,056.22/x
  3. Step 3: Cross multiply
    105,176.84x = 157,766.10 × 35,056.22
  4. Step 4: Simplify right side
    105,176.84x = 5,530,683,110.14
  5. Step 5: Solve for x
    x = 5,530,683,110.14/105,176.84
  6. Step 6: Final answer
    x = 52,584.61

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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.