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Finding the Fourth Proportional to 76,241.76, 105,213.66 and 46,433.76

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Solution

The fourth proportional to 76,241.76, 105,213.66 and 46,433.76 is: 64,078.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,241.76 : 105,213.66 = 46,433.76 : x
  2. Step 2: Convert to fraction form
    76,241.76/105,213.66 = 46,433.76/x
  3. Step 3: Cross multiply
    76,241.76x = 105,213.66 × 46,433.76
  4. Step 4: Simplify right side
    76,241.76x = 4,885,465,837.16
  5. Step 5: Solve for x
    x = 4,885,465,837.16/76,241.76
  6. Step 6: Final answer
    x = 64,078.61

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1.5x scale

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.