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Finding the Fourth Proportional to 30,476.30, 45,708.84 and 13,832.32

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Solution

The fourth proportional to 30,476.30, 45,708.84 and 13,832.32 is: 20,745.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,476.30 : 45,708.84 = 13,832.32 : x
  2. Step 2: Convert to fraction form
    30,476.30/45,708.84 = 13,832.32/x
  3. Step 3: Cross multiply
    30,476.30x = 45,708.84 × 13,832.32
  4. Step 4: Simplify right side
    30,476.30x = 632,259,301.71
  5. Step 5: Solve for x
    x = 632,259,301.71/30,476.30
  6. Step 6: Final answer
    x = 20,745.93

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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.