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Finding the Fourth Proportional to 34,538.88, 51,808.32 and 13,762.56

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Solution

The fourth proportional to 34,538.88, 51,808.32 and 13,762.56 is: 20,643.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,538.88 : 51,808.32 = 13,762.56 : x
  2. Step 2: Convert to fraction form
    34,538.88/51,808.32 = 13,762.56/x
  3. Step 3: Cross multiply
    34,538.88x = 51,808.32 × 13,762.56
  4. Step 4: Simplify right side
    34,538.88x = 713,015,112.50
  5. Step 5: Solve for x
    x = 713,015,112.50/34,538.88
  6. Step 6: Final answer
    x = 20,643.84

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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.