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Finding the Fourth Proportional to 117,063.70, 175,623.49 and 38,178

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Solution

The fourth proportional to 117,063.70, 175,623.49 and 38,178 is: 57,276.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,063.70 : 175,623.49 = 38,178 : x
  2. Step 2: Convert to fraction form
    117,063.70/175,623.49 = 38,178/x
  3. Step 3: Cross multiply
    117,063.70x = 175,623.49 × 38,178
  4. Step 4: Simplify right side
    117,063.70x = 6,704,953,648.94
  5. Step 5: Solve for x
    x = 6,704,953,648.94/117,063.70
  6. Step 6: Final answer
    x = 57,276.11

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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.