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Finding the Fourth Proportional to 52,142.34, 71,956.95 and 28,268.96

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Solution

The fourth proportional to 52,142.34, 71,956.95 and 28,268.96 is: 39,011.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,142.34 : 71,956.95 = 28,268.96 : x
  2. Step 2: Convert to fraction form
    52,142.34/71,956.95 = 28,268.96/x
  3. Step 3: Cross multiply
    52,142.34x = 71,956.95 × 28,268.96
  4. Step 4: Simplify right side
    52,142.34x = 2,034,148,141.27
  5. Step 5: Solve for x
    x = 2,034,148,141.27/52,142.34
  6. Step 6: Final answer
    x = 39,011.45

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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.