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Finding the Fourth Proportional to 30,182.88, 45,286.32 and 13,538.40

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Solution

The fourth proportional to 30,182.88, 45,286.32 and 13,538.40 is: 20,312.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,182.88 : 45,286.32 = 13,538.40 : x
  2. Step 2: Convert to fraction form
    30,182.88/45,286.32 = 13,538.40/x
  3. Step 3: Cross multiply
    30,182.88x = 45,286.32 × 13,538.40
  4. Step 4: Simplify right side
    30,182.88x = 613,104,314.69
  5. Step 5: Solve for x
    x = 613,104,314.69/30,182.88
  6. Step 6: Final answer
    x = 20,312.98

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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.