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Finding the Fourth Proportional to 52,065.84, 78,098.07 and 12,623.31

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Solution

The fourth proportional to 52,065.84, 78,098.07 and 12,623.31 is: 18,934.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,065.84 : 78,098.07 = 12,623.31 : x
  2. Step 2: Convert to fraction form
    52,065.84/78,098.07 = 12,623.31/x
  3. Step 3: Cross multiply
    52,065.84x = 78,098.07 × 12,623.31
  4. Step 4: Simplify right side
    52,065.84x = 985,856,148.01
  5. Step 5: Solve for x
    x = 985,856,148.01/52,065.84
  6. Step 6: Final answer
    x = 18,934.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.