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Finding the Fourth Proportional to 70,522.94, 105,784.78 and 23,776.22

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Solution

The fourth proportional to 70,522.94, 105,784.78 and 23,776.22 is: 35,664.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,522.94 : 105,784.78 = 23,776.22 : x
  2. Step 2: Convert to fraction form
    70,522.94/105,784.78 = 23,776.22/x
  3. Step 3: Cross multiply
    70,522.94x = 105,784.78 × 23,776.22
  4. Step 4: Simplify right side
    70,522.94x = 2,515,162,201.93
  5. Step 5: Solve for x
    x = 2,515,162,201.93/70,522.94
  6. Step 6: Final answer
    x = 35,664.45

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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.