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Finding the Fourth Proportional to 59,638.32, 82,266.84 and 36,966.96

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Solution

The fourth proportional to 59,638.32, 82,266.84 and 36,966.96 is: 50,993.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,638.32 : 82,266.84 = 36,966.96 : x
  2. Step 2: Convert to fraction form
    59,638.32/82,266.84 = 36,966.96/x
  3. Step 3: Cross multiply
    59,638.32x = 82,266.84 × 36,966.96
  4. Step 4: Simplify right side
    59,638.32x = 3,041,154,983.61
  5. Step 5: Solve for x
    x = 3,041,154,983.61/59,638.32
  6. Step 6: Final answer
    x = 50,993.30

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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.