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Finding the Fourth Proportional to 30,539.58, 45,780.21 and 9,749.58

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Solution

The fourth proportional to 30,539.58, 45,780.21 and 9,749.58 is: 14,615.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,539.58 : 45,780.21 = 9,749.58 : x
  2. Step 2: Convert to fraction form
    30,539.58/45,780.21 = 9,749.58/x
  3. Step 3: Cross multiply
    30,539.58x = 45,780.21 × 9,749.58
  4. Step 4: Simplify right side
    30,539.58x = 446,337,819.81
  5. Step 5: Solve for x
    x = 446,337,819.81/30,539.58
  6. Step 6: Final answer
    x = 14,615.06

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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.