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Finding the Fourth Proportional to 102,412.75, 153,618.90 and 27,532.90

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Solution

The fourth proportional to 102,412.75, 153,618.90 and 27,532.90 is: 41,299.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,412.75 : 153,618.90 = 27,532.90 : x
  2. Step 2: Convert to fraction form
    102,412.75/153,618.90 = 27,532.90/x
  3. Step 3: Cross multiply
    102,412.75x = 153,618.90 × 27,532.90
  4. Step 4: Simplify right side
    102,412.75x = 4,229,573,811.81
  5. Step 5: Solve for x
    x = 4,229,573,811.81/102,412.75
  6. Step 6: Final answer
    x = 41,299.29

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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.