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Finding the Fourth Proportional to 30,469.37, 45,709.77 and 13,830.57

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Solution

The fourth proportional to 30,469.37, 45,709.77 and 13,830.57 is: 20,748.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,469.37 : 45,709.77 = 13,830.57 : x
  2. Step 2: Convert to fraction form
    30,469.37/45,709.77 = 13,830.57/x
  3. Step 3: Cross multiply
    30,469.37x = 45,709.77 × 13,830.57
  4. Step 4: Simplify right side
    30,469.37x = 632,191,987.04
  5. Step 5: Solve for x
    x = 632,191,987.04/30,469.37
  6. Step 6: Final answer
    x = 20,748.45

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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.