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Finding the Fourth Proportional to 30,648.63, 45,892.72 and 20,085.42

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Solution

The fourth proportional to 30,648.63, 45,892.72 and 20,085.42 is: 30,075.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,648.63 : 45,892.72 = 20,085.42 : x
  2. Step 2: Convert to fraction form
    30,648.63/45,892.72 = 20,085.42/x
  3. Step 3: Cross multiply
    30,648.63x = 45,892.72 × 20,085.42
  4. Step 4: Simplify right side
    30,648.63x = 921,774,556.14
  5. Step 5: Solve for x
    x = 921,774,556.14/30,648.63
  6. Step 6: Final answer
    x = 30,075.55

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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.