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Finding the Fourth Proportional to 38,241.92, 52,779.12 and 21,476

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Solution

The fourth proportional to 38,241.92, 52,779.12 and 21,476 is: 29,639.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,241.92 : 52,779.12 = 21,476 : x
  2. Step 2: Convert to fraction form
    38,241.92/52,779.12 = 21,476/x
  3. Step 3: Cross multiply
    38,241.92x = 52,779.12 × 21,476
  4. Step 4: Simplify right side
    38,241.92x = 1,133,484,381.12
  5. Step 5: Solve for x
    x = 1,133,484,381.12/38,241.92
  6. Step 6: Final answer
    x = 29,639.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.