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Finding the Fourth Proportional to 114,304.91, 171,465.60 and 39,424

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Solution

The fourth proportional to 114,304.91, 171,465.60 and 39,424 is: 59,138.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,304.91 : 171,465.60 = 39,424 : x
  2. Step 2: Convert to fraction form
    114,304.91/171,465.60 = 39,424/x
  3. Step 3: Cross multiply
    114,304.91x = 171,465.60 × 39,424
  4. Step 4: Simplify right side
    114,304.91x = 6,759,859,814.40
  5. Step 5: Solve for x
    x = 6,759,859,814.40/114,304.91
  6. Step 6: Final answer
    x = 59,138.84

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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.