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Finding the Fourth Proportional to 30,137.40, 45,215.82 and 10,428.48

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Solution

The fourth proportional to 30,137.40, 45,215.82 and 10,428.48 is: 15,646.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,137.40 : 45,215.82 = 10,428.48 : x
  2. Step 2: Convert to fraction form
    30,137.40/45,215.82 = 10,428.48/x
  3. Step 3: Cross multiply
    30,137.40x = 45,215.82 × 10,428.48
  4. Step 4: Simplify right side
    30,137.40x = 471,532,274.55
  5. Step 5: Solve for x
    x = 471,532,274.55/30,137.40
  6. Step 6: Final answer
    x = 15,646.08

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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.