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Finding the Fourth Proportional to 52,833.51, 72,912.69 and 28,962

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Solution

The fourth proportional to 52,833.51, 72,912.69 and 28,962 is: 39,968.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,833.51 : 72,912.69 = 28,962 : x
  2. Step 2: Convert to fraction form
    52,833.51/72,912.69 = 28,962/x
  3. Step 3: Cross multiply
    52,833.51x = 72,912.69 × 28,962
  4. Step 4: Simplify right side
    52,833.51x = 2,111,697,327.78
  5. Step 5: Solve for x
    x = 2,111,697,327.78/52,833.51
  6. Step 6: Final answer
    x = 39,968.90

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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.