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Finding the Fourth Proportional to 59,202, 81,698.76 and 32,706

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Solution

The fourth proportional to 59,202, 81,698.76 and 32,706 is: 45,134.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,202 : 81,698.76 = 32,706 : x
  2. Step 2: Convert to fraction form
    59,202/81,698.76 = 32,706/x
  3. Step 3: Cross multiply
    59,202x = 81,698.76 × 32,706
  4. Step 4: Simplify right side
    59,202x = 2,672,039,644.56
  5. Step 5: Solve for x
    x = 2,672,039,644.56/59,202
  6. Step 6: Final answer
    x = 45,134.28

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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.