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Finding the Fourth Proportional to 51,903.68, 77,856.16 and 14,968

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Solution

The fourth proportional to 51,903.68, 77,856.16 and 14,968 is: 22,452.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,903.68 : 77,856.16 = 14,968 : x
  2. Step 2: Convert to fraction form
    51,903.68/77,856.16 = 14,968/x
  3. Step 3: Cross multiply
    51,903.68x = 77,856.16 × 14,968
  4. Step 4: Simplify right side
    51,903.68x = 1,165,351,002.88
  5. Step 5: Solve for x
    x = 1,165,351,002.88/51,903.68
  6. Step 6: Final answer
    x = 22,452.18

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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.