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Finding the Fourth Proportional to 59,510, 82,123.80 and 33,014

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Solution

The fourth proportional to 59,510, 82,123.80 and 33,014 is: 45,559.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,510 : 82,123.80 = 33,014 : x
  2. Step 2: Convert to fraction form
    59,510/82,123.80 = 33,014/x
  3. Step 3: Cross multiply
    59,510x = 82,123.80 × 33,014
  4. Step 4: Simplify right side
    59,510x = 2,711,235,133.20
  5. Step 5: Solve for x
    x = 2,711,235,133.20/59,510
  6. Step 6: Final answer
    x = 45,559.32

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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.