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Finding the Fourth Proportional to 30,901.32, 42,628.12 and 19,551.68

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Solution

The fourth proportional to 30,901.32, 42,628.12 and 19,551.68 is: 26,971.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,901.32 : 42,628.12 = 19,551.68 : x
  2. Step 2: Convert to fraction form
    30,901.32/42,628.12 = 19,551.68/x
  3. Step 3: Cross multiply
    30,901.32x = 42,628.12 × 19,551.68
  4. Step 4: Simplify right side
    30,901.32x = 833,451,361.24
  5. Step 5: Solve for x
    x = 833,451,361.24/30,901.32
  6. Step 6: Final answer
    x = 26,971.38

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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.