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Finding the Fourth Proportional to 65,202.24, 90,017.28 and 47,280

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Solution

The fourth proportional to 65,202.24, 90,017.28 and 47,280 is: 65,274.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,202.24 : 90,017.28 = 47,280 : x
  2. Step 2: Convert to fraction form
    65,202.24/90,017.28 = 47,280/x
  3. Step 3: Cross multiply
    65,202.24x = 90,017.28 × 47,280
  4. Step 4: Simplify right side
    65,202.24x = 4,256,016,998.40
  5. Step 5: Solve for x
    x = 4,256,016,998.40/65,202.24
  6. Step 6: Final answer
    x = 65,274.09

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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.