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Finding the Fourth Proportional to 52,498.44, 78,413.04 and 47,493.14

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Solution

The fourth proportional to 52,498.44, 78,413.04 and 47,493.14 is: 70,936.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,498.44 : 78,413.04 = 47,493.14 : x
  2. Step 2: Convert to fraction form
    52,498.44/78,413.04 = 47,493.14/x
  3. Step 3: Cross multiply
    52,498.44x = 78,413.04 × 47,493.14
  4. Step 4: Simplify right side
    52,498.44x = 3,724,081,094.48
  5. Step 5: Solve for x
    x = 3,724,081,094.48/52,498.44
  6. Step 6: Final answer
    x = 70,936.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.