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Finding the Fourth Proportional to 30,567.96, 45,852 and 8,381.64

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Solution

The fourth proportional to 30,567.96, 45,852 and 8,381.64 is: 12,572.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,567.96 : 45,852 = 8,381.64 : x
  2. Step 2: Convert to fraction form
    30,567.96/45,852 = 8,381.64/x
  3. Step 3: Cross multiply
    30,567.96x = 45,852 × 8,381.64
  4. Step 4: Simplify right side
    30,567.96x = 384,314,957.28
  5. Step 5: Solve for x
    x = 384,314,957.28/30,567.96
  6. Step 6: Final answer
    x = 12,572.48

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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.