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Finding the Fourth Proportional to 52,216.34, 78,324.50 and 12,772.98

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Solution

The fourth proportional to 52,216.34, 78,324.50 and 12,772.98 is: 19,159.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,216.34 : 78,324.50 = 12,772.98 : x
  2. Step 2: Convert to fraction form
    52,216.34/78,324.50 = 12,772.98/x
  3. Step 3: Cross multiply
    52,216.34x = 78,324.50 × 12,772.98
  4. Step 4: Simplify right side
    52,216.34x = 1,000,437,272.01
  5. Step 5: Solve for x
    x = 1,000,437,272.01/52,216.34
  6. Step 6: Final answer
    x = 19,159.47

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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.