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Finding the Fourth Proportional to 91,284.80, 125,971.44 and 50,996

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Solution

The fourth proportional to 91,284.80, 125,971.44 and 50,996 is: 70,373.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,284.80 : 125,971.44 = 50,996 : x
  2. Step 2: Convert to fraction form
    91,284.80/125,971.44 = 50,996/x
  3. Step 3: Cross multiply
    91,284.80x = 125,971.44 × 50,996
  4. Step 4: Simplify right side
    91,284.80x = 6,424,039,554.24
  5. Step 5: Solve for x
    x = 6,424,039,554.24/91,284.80
  6. Step 6: Final answer
    x = 70,373.60

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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.