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Finding the Fourth Proportional to 47,065.83, 70,583.79 and 15,468.60

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Solution

The fourth proportional to 47,065.83, 70,583.79 and 15,468.60 is: 23,197.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,065.83 : 70,583.79 = 15,468.60 : x
  2. Step 2: Convert to fraction form
    47,065.83/70,583.79 = 15,468.60/x
  3. Step 3: Cross multiply
    47,065.83x = 70,583.79 × 15,468.60
  4. Step 4: Simplify right side
    47,065.83x = 1,091,832,413.99
  5. Step 5: Solve for x
    x = 1,091,832,413.99/47,065.83
  6. Step 6: Final answer
    x = 23,197.98

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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.