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Finding the Fourth Proportional to 114,335.76, 171,476.04 and 34,356.96

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Solution

The fourth proportional to 114,335.76, 171,476.04 and 34,356.96 is: 51,527.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,335.76 : 171,476.04 = 34,356.96 : x
  2. Step 2: Convert to fraction form
    114,335.76/171,476.04 = 34,356.96/x
  3. Step 3: Cross multiply
    114,335.76x = 171,476.04 × 34,356.96
  4. Step 4: Simplify right side
    114,335.76x = 5,891,395,447.24
  5. Step 5: Solve for x
    x = 5,891,395,447.24/114,335.76
  6. Step 6: Final answer
    x = 51,527.15

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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.