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Finding the Fourth Proportional to 30,232.54, 45,349.83 and 11,509.77

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Solution

The fourth proportional to 30,232.54, 45,349.83 and 11,509.77 is: 17,265.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,232.54 : 45,349.83 = 11,509.77 : x
  2. Step 2: Convert to fraction form
    30,232.54/45,349.83 = 11,509.77/x
  3. Step 3: Cross multiply
    30,232.54x = 45,349.83 × 11,509.77
  4. Step 4: Simplify right side
    30,232.54x = 521,966,282.90
  5. Step 5: Solve for x
    x = 521,966,282.90/30,232.54
  6. Step 6: Final answer
    x = 17,265.05

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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.