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Finding the Fourth Proportional to 70,194.66, 105,364.89 and 46,983.30

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Solution

The fourth proportional to 70,194.66, 105,364.89 and 46,983.30 is: 70,523.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,194.66 : 105,364.89 = 46,983.30 : x
  2. Step 2: Convert to fraction form
    70,194.66/105,364.89 = 46,983.30/x
  3. Step 3: Cross multiply
    70,194.66x = 105,364.89 × 46,983.30
  4. Step 4: Simplify right side
    70,194.66x = 4,950,390,236.34
  5. Step 5: Solve for x
    x = 4,950,390,236.34/70,194.66
  6. Step 6: Final answer
    x = 70,523.74

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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.