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Finding the Fourth Proportional to 101,433.84, 152,158.04 and 31,304.04

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Solution

The fourth proportional to 101,433.84, 152,158.04 and 31,304.04 is: 46,958.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,433.84 : 152,158.04 = 31,304.04 : x
  2. Step 2: Convert to fraction form
    101,433.84/152,158.04 = 31,304.04/x
  3. Step 3: Cross multiply
    101,433.84x = 152,158.04 × 31,304.04
  4. Step 4: Simplify right side
    101,433.84x = 4,763,161,370.48
  5. Step 5: Solve for x
    x = 4,763,161,370.48/101,433.84
  6. Step 6: Final answer
    x = 46,958.31

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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.