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Finding the Fourth Proportional to 52,112, 71,973.96 and 35,315.84

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Solution

The fourth proportional to 52,112, 71,973.96 and 35,315.84 is: 48,776.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,112 : 71,973.96 = 35,315.84 : x
  2. Step 2: Convert to fraction form
    52,112/71,973.96 = 35,315.84/x
  3. Step 3: Cross multiply
    52,112x = 71,973.96 × 35,315.84
  4. Step 4: Simplify right side
    52,112x = 2,541,820,855.53
  5. Step 5: Solve for x
    x = 2,541,820,855.53/52,112
  6. Step 6: Final answer
    x = 48,776.11

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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.