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Finding the Fourth Proportional to 117,970.28, 176,905.74 and 47,800.52

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Solution

The fourth proportional to 117,970.28, 176,905.74 and 47,800.52 is: 71,680.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,970.28 : 176,905.74 = 47,800.52 : x
  2. Step 2: Convert to fraction form
    117,970.28/176,905.74 = 47,800.52/x
  3. Step 3: Cross multiply
    117,970.28x = 176,905.74 × 47,800.52
  4. Step 4: Simplify right side
    117,970.28x = 8,456,186,362.98
  5. Step 5: Solve for x
    x = 8,456,186,362.98/117,970.28
  6. Step 6: Final answer
    x = 71,680.65

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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.