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Finding the Fourth Proportional to 30,628.84, 42,294.38 and 19,318.54

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Solution

The fourth proportional to 30,628.84, 42,294.38 and 19,318.54 is: 26,676.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,628.84 : 42,294.38 = 19,318.54 : x
  2. Step 2: Convert to fraction form
    30,628.84/42,294.38 = 19,318.54/x
  3. Step 3: Cross multiply
    30,628.84x = 42,294.38 × 19,318.54
  4. Step 4: Simplify right side
    30,628.84x = 817,065,671.81
  5. Step 5: Solve for x
    x = 817,065,671.81/30,628.84
  6. Step 6: Final answer
    x = 26,676.35

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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.