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Finding the Fourth Proportional to 117,429.66, 176,164.05 and 38,522.70

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Solution

The fourth proportional to 117,429.66, 176,164.05 and 38,522.70 is: 57,790.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,429.66 : 176,164.05 = 38,522.70 : x
  2. Step 2: Convert to fraction form
    117,429.66/176,164.05 = 38,522.70/x
  3. Step 3: Cross multiply
    117,429.66x = 176,164.05 × 38,522.70
  4. Step 4: Simplify right side
    117,429.66x = 6,786,314,848.94
  5. Step 5: Solve for x
    x = 6,786,314,848.94/117,429.66
  6. Step 6: Final answer
    x = 57,790.47

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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.