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Finding the Fourth Proportional to 52,775.16, 72,821 and 30,114.16

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Solution

The fourth proportional to 52,775.16, 72,821 and 30,114.16 is: 41,552.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,775.16 : 72,821 = 30,114.16 : x
  2. Step 2: Convert to fraction form
    52,775.16/72,821 = 30,114.16/x
  3. Step 3: Cross multiply
    52,775.16x = 72,821 × 30,114.16
  4. Step 4: Simplify right side
    52,775.16x = 2,192,943,245.36
  5. Step 5: Solve for x
    x = 2,192,943,245.36/52,775.16
  6. Step 6: Final answer
    x = 41,552.56

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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.