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Finding the Fourth Proportional to 117,958.13, 176,936.12 and 47,820.77

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Solution

The fourth proportional to 117,958.13, 176,936.12 and 47,820.77 is: 71,730.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,958.13 : 176,936.12 = 47,820.77 : x
  2. Step 2: Convert to fraction form
    117,958.13/176,936.12 = 47,820.77/x
  3. Step 3: Cross multiply
    117,958.13x = 176,936.12 × 47,820.77
  4. Step 4: Simplify right side
    117,958.13x = 8,461,221,260.11
  5. Step 5: Solve for x
    x = 8,461,221,260.11/117,958.13
  6. Step 6: Final answer
    x = 71,730.72

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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.