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Finding the Fourth Proportional to 30,005, 41,406.90 and 17,430.56

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Solution

The fourth proportional to 30,005, 41,406.90 and 17,430.56 is: 24,054.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,005 : 41,406.90 = 17,430.56 : x
  2. Step 2: Convert to fraction form
    30,005/41,406.90 = 17,430.56/x
  3. Step 3: Cross multiply
    30,005x = 41,406.90 × 17,430.56
  4. Step 4: Simplify right side
    30,005x = 721,745,454.86
  5. Step 5: Solve for x
    x = 721,745,454.86/30,005
  6. Step 6: Final answer
    x = 24,054.17

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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.