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Finding the Fourth Proportional to 117,162.90, 175,752.54 and 47,042.21

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Solution

The fourth proportional to 117,162.90, 175,752.54 and 47,042.21 is: 70,566.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,162.90 : 175,752.54 = 47,042.21 : x
  2. Step 2: Convert to fraction form
    117,162.90/175,752.54 = 47,042.21/x
  3. Step 3: Cross multiply
    117,162.90x = 175,752.54 × 47,042.21
  4. Step 4: Simplify right side
    117,162.90x = 8,267,787,015.95
  5. Step 5: Solve for x
    x = 8,267,787,015.95/117,162.90
  6. Step 6: Final answer
    x = 70,566.60

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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.