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Finding the Fourth Proportional to 30,012.08, 45,018.14 and 7,825.40

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Solution

The fourth proportional to 30,012.08, 45,018.14 and 7,825.40 is: 11,738.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,012.08 : 45,018.14 = 7,825.40 : x
  2. Step 2: Convert to fraction form
    30,012.08/45,018.14 = 7,825.40/x
  3. Step 3: Cross multiply
    30,012.08x = 45,018.14 × 7,825.40
  4. Step 4: Simplify right side
    30,012.08x = 352,284,952.76
  5. Step 5: Solve for x
    x = 352,284,952.76/30,012.08
  6. Step 6: Final answer
    x = 11,738.11

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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.