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Finding the Fourth Proportional to 30,657, 45,996.60 and 15,085.56

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Solution

The fourth proportional to 30,657, 45,996.60 and 15,085.56 is: 22,633.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,657 : 45,996.60 = 15,085.56 : x
  2. Step 2: Convert to fraction form
    30,657/45,996.60 = 15,085.56/x
  3. Step 3: Cross multiply
    30,657x = 45,996.60 × 15,085.56
  4. Step 4: Simplify right side
    30,657x = 693,884,469.10
  5. Step 5: Solve for x
    x = 693,884,469.10/30,657
  6. Step 6: Final answer
    x = 22,633.80

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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.