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Finding the Fourth Proportional to 52,046.52, 78,069.60 and 12,603.60

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Solution

The fourth proportional to 52,046.52, 78,069.60 and 12,603.60 is: 18,905.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,046.52 : 78,069.60 = 12,603.60 : x
  2. Step 2: Convert to fraction form
    52,046.52/78,069.60 = 12,603.60/x
  3. Step 3: Cross multiply
    52,046.52x = 78,069.60 × 12,603.60
  4. Step 4: Simplify right side
    52,046.52x = 983,958,010.56
  5. Step 5: Solve for x
    x = 983,958,010.56/52,046.52
  6. Step 6: Final answer
    x = 18,905.36

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Why These Related Problems?

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