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Finding the Fourth Proportional to 70,225, 105,315.62 and 23,466.94

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Solution

The fourth proportional to 70,225, 105,315.62 and 23,466.94 is: 35,193.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,225 : 105,315.62 = 23,466.94 : x
  2. Step 2: Convert to fraction form
    70,225/105,315.62 = 23,466.94/x
  3. Step 3: Cross multiply
    70,225x = 105,315.62 × 23,466.94
  4. Step 4: Simplify right side
    70,225x = 2,471,435,335.60
  5. Step 5: Solve for x
    x = 2,471,435,335.60/70,225
  6. Step 6: Final answer
    x = 35,193.10

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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.