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Finding the Fourth Proportional to 30,230.70, 45,346.50 and 10,509.93

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Solution

The fourth proportional to 30,230.70, 45,346.50 and 10,509.93 is: 15,765.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,230.70 : 45,346.50 = 10,509.93 : x
  2. Step 2: Convert to fraction form
    30,230.70/45,346.50 = 10,509.93/x
  3. Step 3: Cross multiply
    30,230.70x = 45,346.50 × 10,509.93
  4. Step 4: Simplify right side
    30,230.70x = 476,588,540.75
  5. Step 5: Solve for x
    x = 476,588,540.75/30,230.70
  6. Step 6: Final answer
    x = 15,765.05

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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.