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Finding the Fourth Proportional to 50,956.16, 76,739.42 and 46,411

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Solution

The fourth proportional to 50,956.16, 76,739.42 and 46,411 is: 69,894.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,956.16 : 76,739.42 = 46,411 : x
  2. Step 2: Convert to fraction form
    50,956.16/76,739.42 = 46,411/x
  3. Step 3: Cross multiply
    50,956.16x = 76,739.42 × 46,411
  4. Step 4: Simplify right side
    50,956.16x = 3,561,553,221.62
  5. Step 5: Solve for x
    x = 3,561,553,221.62/50,956.16
  6. Step 6: Final answer
    x = 69,894.46

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.