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Finding the Fourth Proportional to 30,856.70, 42,584.74 and 17,431.22

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Solution

The fourth proportional to 30,856.70, 42,584.74 and 17,431.22 is: 24,056.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,856.70 : 42,584.74 = 17,431.22 : x
  2. Step 2: Convert to fraction form
    30,856.70/42,584.74 = 17,431.22/x
  3. Step 3: Cross multiply
    30,856.70x = 42,584.74 × 17,431.22
  4. Step 4: Simplify right side
    30,856.70x = 742,303,971.58
  5. Step 5: Solve for x
    x = 742,303,971.58/30,856.70
  6. Step 6: Final answer
    x = 24,056.49

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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.