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Finding the Fourth Proportional to 34,388.92, 47,459 and 19,282.56

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Solution

The fourth proportional to 34,388.92, 47,459 and 19,282.56 is: 26,611.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,388.92 : 47,459 = 19,282.56 : x
  2. Step 2: Convert to fraction form
    34,388.92/47,459 = 19,282.56/x
  3. Step 3: Cross multiply
    34,388.92x = 47,459 × 19,282.56
  4. Step 4: Simplify right side
    34,388.92x = 915,131,015.04
  5. Step 5: Solve for x
    x = 915,131,015.04/34,388.92
  6. Step 6: Final answer
    x = 26,611.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.