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Finding the Fourth Proportional to 30,421.70, 45,596.91 and 13,762.34

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Solution

The fourth proportional to 30,421.70, 45,596.91 and 13,762.34 is: 20,627.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,421.70 : 45,596.91 = 13,762.34 : x
  2. Step 2: Convert to fraction form
    30,421.70/45,596.91 = 13,762.34/x
  3. Step 3: Cross multiply
    30,421.70x = 45,596.91 × 13,762.34
  4. Step 4: Simplify right side
    30,421.70x = 627,520,178.37
  5. Step 5: Solve for x
    x = 627,520,178.37/30,421.70
  6. Step 6: Final answer
    x = 20,627.39

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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.