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Finding the Fourth Proportional to 117,419.84, 176,162.52 and 47,348

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Solution

The fourth proportional to 117,419.84, 176,162.52 and 47,348 is: 71,035.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,419.84 : 176,162.52 = 47,348 : x
  2. Step 2: Convert to fraction form
    117,419.84/176,162.52 = 47,348/x
  3. Step 3: Cross multiply
    117,419.84x = 176,162.52 × 47,348
  4. Step 4: Simplify right side
    117,419.84x = 8,340,942,996.96
  5. Step 5: Solve for x
    x = 8,340,942,996.96/117,419.84
  6. Step 6: Final answer
    x = 71,035.21

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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.