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Finding the Fourth Proportional to 52,818, 72,892.08 and 30,462

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Solution

The fourth proportional to 52,818, 72,892.08 and 30,462 is: 42,039.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,818 : 72,892.08 = 30,462 : x
  2. Step 2: Convert to fraction form
    52,818/72,892.08 = 30,462/x
  3. Step 3: Cross multiply
    52,818x = 72,892.08 × 30,462
  4. Step 4: Simplify right side
    52,818x = 2,220,438,540.96
  5. Step 5: Solve for x
    x = 2,220,438,540.96/52,818
  6. Step 6: Final answer
    x = 42,039.43

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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.