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Finding the Fourth Proportional to 117,825.66, 176,624.16 and 46,725

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Solution

The fourth proportional to 117,825.66, 176,624.16 and 46,725 is: 70,042.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,825.66 : 176,624.16 = 46,725 : x
  2. Step 2: Convert to fraction form
    117,825.66/176,624.16 = 46,725/x
  3. Step 3: Cross multiply
    117,825.66x = 176,624.16 × 46,725
  4. Step 4: Simplify right side
    117,825.66x = 8,252,763,876
  5. Step 5: Solve for x
    x = 8,252,763,876/117,825.66
  6. Step 6: Final answer
    x = 70,042.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.