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Finding the Fourth Proportional to 30,615.90, 45,923.84 and 9,841.02

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Solution

The fourth proportional to 30,615.90, 45,923.84 and 9,841.02 is: 14,761.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,615.90 : 45,923.84 = 9,841.02 : x
  2. Step 2: Convert to fraction form
    30,615.90/45,923.84 = 9,841.02/x
  3. Step 3: Cross multiply
    30,615.90x = 45,923.84 × 9,841.02
  4. Step 4: Simplify right side
    30,615.90x = 451,937,427.92
  5. Step 5: Solve for x
    x = 451,937,427.92/30,615.90
  6. Step 6: Final answer
    x = 14,761.53

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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.