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Finding the Fourth Proportional to 70,394.84, 105,606.08 and 30,951.84

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Solution

The fourth proportional to 70,394.84, 105,606.08 and 30,951.84 is: 46,433.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,394.84 : 105,606.08 = 30,951.84 : x
  2. Step 2: Convert to fraction form
    70,394.84/105,606.08 = 30,951.84/x
  3. Step 3: Cross multiply
    70,394.84x = 105,606.08 × 30,951.84
  4. Step 4: Simplify right side
    70,394.84x = 3,268,702,491.19
  5. Step 5: Solve for x
    x = 3,268,702,491.19/70,394.84
  6. Step 6: Final answer
    x = 46,433.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.