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Finding the Fourth Proportional to 76,353, 105,378.66 and 46,562.28

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Solution

The fourth proportional to 76,353, 105,378.66 and 46,562.28 is: 64,262.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,353 : 105,378.66 = 46,562.28 : x
  2. Step 2: Convert to fraction form
    76,353/105,378.66 = 46,562.28/x
  3. Step 3: Cross multiply
    76,353x = 105,378.66 × 46,562.28
  4. Step 4: Simplify right side
    76,353x = 4,906,670,672.94
  5. Step 5: Solve for x
    x = 4,906,670,672.94/76,353
  6. Step 6: Final answer
    x = 64,262.97

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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.