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Finding the Fourth Proportional to 52,477.80, 72,413.04 and 29,808.60

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Solution

The fourth proportional to 52,477.80, 72,413.04 and 29,808.60 is: 41,132.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,477.80 : 72,413.04 = 29,808.60 : x
  2. Step 2: Convert to fraction form
    52,477.80/72,413.04 = 29,808.60/x
  3. Step 3: Cross multiply
    52,477.80x = 72,413.04 × 29,808.60
  4. Step 4: Simplify right side
    52,477.80x = 2,158,531,344.14
  5. Step 5: Solve for x
    x = 2,158,531,344.14/52,477.80
  6. Step 6: Final answer
    x = 41,132.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.