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Finding the Fourth Proportional to 30,377.23, 45,564.23 and 10,657.78

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Solution

The fourth proportional to 30,377.23, 45,564.23 and 10,657.78 is: 15,986.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,377.23 : 45,564.23 = 10,657.78 : x
  2. Step 2: Convert to fraction form
    30,377.23/45,564.23 = 10,657.78/x
  3. Step 3: Cross multiply
    30,377.23x = 45,564.23 × 10,657.78
  4. Step 4: Simplify right side
    30,377.23x = 485,613,485.92
  5. Step 5: Solve for x
    x = 485,613,485.92/30,377.23
  6. Step 6: Final answer
    x = 15,986.10

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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.