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Finding the Fourth Proportional to 34,290.60, 51,413.70 and 14,563.80

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Solution

The fourth proportional to 34,290.60, 51,413.70 and 14,563.80 is: 21,836.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,290.60 : 51,413.70 = 14,563.80 : x
  2. Step 2: Convert to fraction form
    34,290.60/51,413.70 = 14,563.80/x
  3. Step 3: Cross multiply
    34,290.60x = 51,413.70 × 14,563.80
  4. Step 4: Simplify right side
    34,290.60x = 748,778,844.06
  5. Step 5: Solve for x
    x = 748,778,844.06/34,290.60
  6. Step 6: Final answer
    x = 21,836.27

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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.