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Finding the Fourth Proportional to 30,205.86, 45,323.64 and 13,577.64

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Solution

The fourth proportional to 30,205.86, 45,323.64 and 13,577.64 is: 20,373.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,205.86 : 45,323.64 = 13,577.64 : x
  2. Step 2: Convert to fraction form
    30,205.86/45,323.64 = 13,577.64/x
  3. Step 3: Cross multiply
    30,205.86x = 45,323.64 × 13,577.64
  4. Step 4: Simplify right side
    30,205.86x = 615,388,067.41
  5. Step 5: Solve for x
    x = 615,388,067.41/30,205.86
  6. Step 6: Final answer
    x = 20,373.14

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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.