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Finding the Fourth Proportional to 51,525, 77,298.53 and 15,985.55

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Solution

The fourth proportional to 51,525, 77,298.53 and 15,985.55 is: 23,981.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,525 : 77,298.53 = 15,985.55 : x
  2. Step 2: Convert to fraction form
    51,525/77,298.53 = 15,985.55/x
  3. Step 3: Cross multiply
    51,525x = 77,298.53 × 15,985.55
  4. Step 4: Simplify right side
    51,525x = 1,235,659,629.56
  5. Step 5: Solve for x
    x = 1,235,659,629.56/51,525
  6. Step 6: Final answer
    x = 23,981.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.