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Finding the Fourth Proportional to 65,852, 90,876.12 and 36,044

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Solution

The fourth proportional to 65,852, 90,876.12 and 36,044 is: 49,740.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,852 : 90,876.12 = 36,044 : x
  2. Step 2: Convert to fraction form
    65,852/90,876.12 = 36,044/x
  3. Step 3: Cross multiply
    65,852x = 90,876.12 × 36,044
  4. Step 4: Simplify right side
    65,852x = 3,275,538,869.28
  5. Step 5: Solve for x
    x = 3,275,538,869.28/65,852
  6. Step 6: Final answer
    x = 49,740.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.