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Finding the Fourth Proportional to 30,154.68, 45,236.27 and 10,428.55

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Solution

The fourth proportional to 30,154.68, 45,236.27 and 10,428.55 is: 15,644.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,154.68 : 45,236.27 = 10,428.55 : x
  2. Step 2: Convert to fraction form
    30,154.68/45,236.27 = 10,428.55/x
  3. Step 3: Cross multiply
    30,154.68x = 45,236.27 × 10,428.55
  4. Step 4: Simplify right side
    30,154.68x = 471,748,616.49
  5. Step 5: Solve for x
    x = 471,748,616.49/30,154.68
  6. Step 6: Final answer
    x = 15,644.29

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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.