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Finding the Fourth Proportional to 30,816.27, 46,223.87 and 10,039.77

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Solution

The fourth proportional to 30,816.27, 46,223.87 and 10,039.77 is: 15,059.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,816.27 : 46,223.87 = 10,039.77 : x
  2. Step 2: Convert to fraction form
    30,816.27/46,223.87 = 10,039.77/x
  3. Step 3: Cross multiply
    30,816.27x = 46,223.87 × 10,039.77
  4. Step 4: Simplify right side
    30,816.27x = 464,076,973.11
  5. Step 5: Solve for x
    x = 464,076,973.11/30,816.27
  6. Step 6: Final answer
    x = 15,059.48

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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.