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Finding the Fourth Proportional to 117,783.50, 176,714.13 and 47,624.54

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Solution

The fourth proportional to 117,783.50, 176,714.13 and 47,624.54 is: 71,452.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,783.50 : 176,714.13 = 47,624.54 : x
  2. Step 2: Convert to fraction form
    117,783.50/176,714.13 = 47,624.54/x
  3. Step 3: Cross multiply
    117,783.50x = 176,714.13 × 47,624.54
  4. Step 4: Simplify right side
    117,783.50x = 8,415,929,152.75
  5. Step 5: Solve for x
    x = 8,415,929,152.75/117,783.50
  6. Step 6: Final answer
    x = 71,452.53

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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.