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Finding the Fourth Proportional to 30,052.38, 45,069.48 and 10,056.78

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Solution

The fourth proportional to 30,052.38, 45,069.48 and 10,056.78 is: 15,082.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,052.38 : 45,069.48 = 10,056.78 : x
  2. Step 2: Convert to fraction form
    30,052.38/45,069.48 = 10,056.78/x
  3. Step 3: Cross multiply
    30,052.38x = 45,069.48 × 10,056.78
  4. Step 4: Simplify right side
    30,052.38x = 453,253,845.07
  5. Step 5: Solve for x
    x = 453,253,845.07/30,052.38
  6. Step 6: Final answer
    x = 15,082.13

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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.