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Finding the Fourth Proportional to 30,556.65, 45,829.38 and 12,782.58

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Solution

The fourth proportional to 30,556.65, 45,829.38 and 12,782.58 is: 19,171.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,556.65 : 45,829.38 = 12,782.58 : x
  2. Step 2: Convert to fraction form
    30,556.65/45,829.38 = 12,782.58/x
  3. Step 3: Cross multiply
    30,556.65x = 45,829.38 × 12,782.58
  4. Step 4: Simplify right side
    30,556.65x = 585,817,487.05
  5. Step 5: Solve for x
    x = 585,817,487.05/30,556.65
  6. Step 6: Final answer
    x = 19,171.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.