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Finding the Fourth Proportional to 30,567.72, 45,793.02 and 20,689.96

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Solution

The fourth proportional to 30,567.72, 45,793.02 and 20,689.96 is: 30,995.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,567.72 : 45,793.02 = 20,689.96 : x
  2. Step 2: Convert to fraction form
    30,567.72/45,793.02 = 20,689.96/x
  3. Step 3: Cross multiply
    30,567.72x = 45,793.02 × 20,689.96
  4. Step 4: Simplify right side
    30,567.72x = 947,455,752.08
  5. Step 5: Solve for x
    x = 947,455,752.08/30,567.72
  6. Step 6: Final answer
    x = 30,995.30

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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.