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Finding the Fourth Proportional to 70,282.32, 105,436.28 and 33,346

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Solution

The fourth proportional to 70,282.32, 105,436.28 and 33,346 is: 50,025.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,282.32 : 105,436.28 = 33,346 : x
  2. Step 2: Convert to fraction form
    70,282.32/105,436.28 = 33,346/x
  3. Step 3: Cross multiply
    70,282.32x = 105,436.28 × 33,346
  4. Step 4: Simplify right side
    70,282.32x = 3,515,878,192.88
  5. Step 5: Solve for x
    x = 3,515,878,192.88/70,282.32
  6. Step 6: Final answer
    x = 50,025.07

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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.