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Finding the Fourth Proportional to 30,230.30, 45,345.45 and 11,762.30

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Solution

The fourth proportional to 30,230.30, 45,345.45 and 11,762.30 is: 17,643.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,230.30 : 45,345.45 = 11,762.30 : x
  2. Step 2: Convert to fraction form
    30,230.30/45,345.45 = 11,762.30/x
  3. Step 3: Cross multiply
    30,230.30x = 45,345.45 × 11,762.30
  4. Step 4: Simplify right side
    30,230.30x = 533,366,786.54
  5. Step 5: Solve for x
    x = 533,366,786.54/30,230.30
  6. Step 6: Final answer
    x = 17,643.45

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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.