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Finding the Fourth Proportional to 65,042.28, 97,528.86 and 29,952

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Solution

The fourth proportional to 65,042.28, 97,528.86 and 29,952 is: 44,912.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,042.28 : 97,528.86 = 29,952 : x
  2. Step 2: Convert to fraction form
    65,042.28/97,528.86 = 29,952/x
  3. Step 3: Cross multiply
    65,042.28x = 97,528.86 × 29,952
  4. Step 4: Simplify right side
    65,042.28x = 2,921,184,414.72
  5. Step 5: Solve for x
    x = 2,921,184,414.72/65,042.28
  6. Step 6: Final answer
    x = 44,912.09

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Why These Related Problems?

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