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Finding the Fourth Proportional to 30,405.38, 45,577.28 and 14,587.16

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Solution

The fourth proportional to 30,405.38, 45,577.28 and 14,587.16 is: 21,865.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,405.38 : 45,577.28 = 14,587.16 : x
  2. Step 2: Convert to fraction form
    30,405.38/45,577.28 = 14,587.16/x
  3. Step 3: Cross multiply
    30,405.38x = 45,577.28 × 14,587.16
  4. Step 4: Simplify right side
    30,405.38x = 664,842,884.31
  5. Step 5: Solve for x
    x = 664,842,884.31/30,405.38
  6. Step 6: Final answer
    x = 21,865.97

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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.