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Finding the Fourth Proportional to 114,959.64, 172,460.06 and 47,491.67

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Solution

The fourth proportional to 114,959.64, 172,460.06 and 47,491.67 is: 71,246.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,959.64 : 172,460.06 = 47,491.67 : x
  2. Step 2: Convert to fraction form
    114,959.64/172,460.06 = 47,491.67/x
  3. Step 3: Cross multiply
    114,959.64x = 172,460.06 × 47,491.67
  4. Step 4: Simplify right side
    114,959.64x = 8,190,416,249.90
  5. Step 5: Solve for x
    x = 8,190,416,249.90/114,959.64
  6. Step 6: Final answer
    x = 71,246.02

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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.