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Finding the Fourth Proportional to 117,072, 175,630.14 and 46,956.78

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Solution

The fourth proportional to 117,072, 175,630.14 and 46,956.78 is: 70,444.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,072 : 175,630.14 = 46,956.78 : x
  2. Step 2: Convert to fraction form
    117,072/175,630.14 = 46,956.78/x
  3. Step 3: Cross multiply
    117,072x = 175,630.14 × 46,956.78
  4. Step 4: Simplify right side
    117,072x = 8,247,025,845.35
  5. Step 5: Solve for x
    x = 8,247,025,845.35/117,072
  6. Step 6: Final answer
    x = 70,444.05

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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.