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Finding the Fourth Proportional to 118,005.96, 176,970.66 and 39,099

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Solution

The fourth proportional to 118,005.96, 176,970.66 and 39,099 is: 58,635.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,005.96 : 176,970.66 = 39,099 : x
  2. Step 2: Convert to fraction form
    118,005.96/176,970.66 = 39,099/x
  3. Step 3: Cross multiply
    118,005.96x = 176,970.66 × 39,099
  4. Step 4: Simplify right side
    118,005.96x = 6,919,375,835.34
  5. Step 5: Solve for x
    x = 6,919,375,835.34/118,005.96
  6. Step 6: Final answer
    x = 58,635.82

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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.