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Finding the Fourth Proportional to 30,457.96, 42,022.50 and 17,027.32

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Solution

The fourth proportional to 30,457.96, 42,022.50 and 17,027.32 is: 23,492.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,457.96 : 42,022.50 = 17,027.32 : x
  2. Step 2: Convert to fraction form
    30,457.96/42,022.50 = 17,027.32/x
  3. Step 3: Cross multiply
    30,457.96x = 42,022.50 × 17,027.32
  4. Step 4: Simplify right side
    30,457.96x = 715,530,554.70
  5. Step 5: Solve for x
    x = 715,530,554.70/30,457.96
  6. Step 6: Final answer
    x = 23,492.40

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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.