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Finding the Fourth Proportional to 50,559.90, 69,786.54 and 29,346

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Solution

The fourth proportional to 50,559.90, 69,786.54 and 29,346 is: 40,505.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,559.90 : 69,786.54 = 29,346 : x
  2. Step 2: Convert to fraction form
    50,559.90/69,786.54 = 29,346/x
  3. Step 3: Cross multiply
    50,559.90x = 69,786.54 × 29,346
  4. Step 4: Simplify right side
    50,559.90x = 2,047,955,802.84
  5. Step 5: Solve for x
    x = 2,047,955,802.84/50,559.90
  6. Step 6: Final answer
    x = 40,505.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.