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Finding the Fourth Proportional to 30,232.36, 45,324.06 and 13,580.20

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Solution

The fourth proportional to 30,232.36, 45,324.06 and 13,580.20 is: 20,359.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,232.36 : 45,324.06 = 13,580.20 : x
  2. Step 2: Convert to fraction form
    30,232.36/45,324.06 = 13,580.20/x
  3. Step 3: Cross multiply
    30,232.36x = 45,324.06 × 13,580.20
  4. Step 4: Simplify right side
    30,232.36x = 615,509,799.61
  5. Step 5: Solve for x
    x = 615,509,799.61/30,232.36
  6. Step 6: Final answer
    x = 20,359.30

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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.