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Finding the Fourth Proportional to 64,947.80, 89,637 and 38,099

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Solution

The fourth proportional to 64,947.80, 89,637 and 38,099 is: 52,581.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,947.80 : 89,637 = 38,099 : x
  2. Step 2: Convert to fraction form
    64,947.80/89,637 = 38,099/x
  3. Step 3: Cross multiply
    64,947.80x = 89,637 × 38,099
  4. Step 4: Simplify right side
    64,947.80x = 3,415,080,063
  5. Step 5: Solve for x
    x = 3,415,080,063/64,947.80
  6. Step 6: Final answer
    x = 52,581.92

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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.