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Finding the Fourth Proportional to 114,411.30, 171,633.15 and 35,517.30

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Solution

The fourth proportional to 114,411.30, 171,633.15 and 35,517.30 is: 53,280.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,411.30 : 171,633.15 = 35,517.30 : x
  2. Step 2: Convert to fraction form
    114,411.30/171,633.15 = 35,517.30/x
  3. Step 3: Cross multiply
    114,411.30x = 171,633.15 × 35,517.30
  4. Step 4: Simplify right side
    114,411.30x = 6,095,946,078.50
  5. Step 5: Solve for x
    x = 6,095,946,078.50/114,411.30
  6. Step 6: Final answer
    x = 53,280.98

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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.