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Finding the Fourth Proportional to 52,878.96, 72,961.56 and 30,510

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Solution

The fourth proportional to 52,878.96, 72,961.56 and 30,510 is: 42,097.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,878.96 : 72,961.56 = 30,510 : x
  2. Step 2: Convert to fraction form
    52,878.96/72,961.56 = 30,510/x
  3. Step 3: Cross multiply
    52,878.96x = 72,961.56 × 30,510
  4. Step 4: Simplify right side
    52,878.96x = 2,226,057,195.60
  5. Step 5: Solve for x
    x = 2,226,057,195.60/52,878.96
  6. Step 6: Final answer
    x = 42,097.22

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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.