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Finding the Fourth Proportional to 47,775.28, 65,919.18 and 28,912

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Solution

The fourth proportional to 47,775.28, 65,919.18 and 28,912 is: 39,892.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,775.28 : 65,919.18 = 28,912 : x
  2. Step 2: Convert to fraction form
    47,775.28/65,919.18 = 28,912/x
  3. Step 3: Cross multiply
    47,775.28x = 65,919.18 × 28,912
  4. Step 4: Simplify right side
    47,775.28x = 1,905,855,332.16
  5. Step 5: Solve for x
    x = 1,905,855,332.16/47,775.28
  6. Step 6: Final answer
    x = 39,892.08

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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.