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Finding the Fourth Proportional to 47,309.49, 70,957.37 and 15,284.30

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Solution

The fourth proportional to 47,309.49, 70,957.37 and 15,284.30 is: 22,924.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,309.49 : 70,957.37 = 15,284.30 : x
  2. Step 2: Convert to fraction form
    47,309.49/70,957.37 = 15,284.30/x
  3. Step 3: Cross multiply
    47,309.49x = 70,957.37 × 15,284.30
  4. Step 4: Simplify right side
    47,309.49x = 1,084,533,413.71
  5. Step 5: Solve for x
    x = 1,084,533,413.71/47,309.49
  6. Step 6: Final answer
    x = 22,924.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.