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Finding the Fourth Proportional to 30,230.57, 45,345.84 and 10,509.12

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Solution

The fourth proportional to 30,230.57, 45,345.84 and 10,509.12 is: 15,763.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,230.57 : 45,345.84 = 10,509.12 : x
  2. Step 2: Convert to fraction form
    30,230.57/45,345.84 = 10,509.12/x
  3. Step 3: Cross multiply
    30,230.57x = 45,345.84 × 10,509.12
  4. Step 4: Simplify right side
    30,230.57x = 476,544,721.89
  5. Step 5: Solve for x
    x = 476,544,721.89/30,230.57
  6. Step 6: Final answer
    x = 15,763.67

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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.