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Finding the Fourth Proportional to 47,473.90, 71,214.92 and 12,413.50

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Solution

The fourth proportional to 47,473.90, 71,214.92 and 12,413.50 is: 18,621.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,473.90 : 71,214.92 = 12,413.50 : x
  2. Step 2: Convert to fraction form
    47,473.90/71,214.92 = 12,413.50/x
  3. Step 3: Cross multiply
    47,473.90x = 71,214.92 × 12,413.50
  4. Step 4: Simplify right side
    47,473.90x = 884,026,347.35
  5. Step 5: Solve for x
    x = 884,026,347.35/47,473.90
  6. Step 6: Final answer
    x = 18,621.31

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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.