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Finding the Fourth Proportional to 30,156.49, 45,234.74 and 10,424.28

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Solution

The fourth proportional to 30,156.49, 45,234.74 and 10,424.28 is: 15,636.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,156.49 : 45,234.74 = 10,424.28 : x
  2. Step 2: Convert to fraction form
    30,156.49/45,234.74 = 10,424.28/x
  3. Step 3: Cross multiply
    30,156.49x = 45,234.74 × 10,424.28
  4. Step 4: Simplify right side
    30,156.49x = 471,539,595.49
  5. Step 5: Solve for x
    x = 471,539,595.49/30,156.49
  6. Step 6: Final answer
    x = 15,636.42

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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.