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Finding the Fourth Proportional to 117,798.23, 176,696.54 and 47,676.53

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Solution

The fourth proportional to 117,798.23, 176,696.54 and 47,676.53 is: 71,514.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,798.23 : 176,696.54 = 47,676.53 : x
  2. Step 2: Convert to fraction form
    117,798.23/176,696.54 = 47,676.53/x
  3. Step 3: Cross multiply
    117,798.23x = 176,696.54 × 47,676.53
  4. Step 4: Simplify right side
    117,798.23x = 8,424,278,272.35
  5. Step 5: Solve for x
    x = 8,424,278,272.35/117,798.23
  6. Step 6: Final answer
    x = 71,514.47

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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.