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Finding the Fourth Proportional to 30,904.96, 42,649.20 and 16,757.92

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Solution

The fourth proportional to 30,904.96, 42,649.20 and 16,757.92 is: 23,126.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,904.96 : 42,649.20 = 16,757.92 : x
  2. Step 2: Convert to fraction form
    30,904.96/42,649.20 = 16,757.92/x
  3. Step 3: Cross multiply
    30,904.96x = 42,649.20 × 16,757.92
  4. Step 4: Simplify right side
    30,904.96x = 714,711,881.66
  5. Step 5: Solve for x
    x = 714,711,881.66/30,904.96
  6. Step 6: Final answer
    x = 23,126.12

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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.