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Finding the Fourth Proportional to 118,038.76, 177,057.88 and 36,992

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Solution

The fourth proportional to 118,038.76, 177,057.88 and 36,992 is: 55,487.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,038.76 : 177,057.88 = 36,992 : x
  2. Step 2: Convert to fraction form
    118,038.76/177,057.88 = 36,992/x
  3. Step 3: Cross multiply
    118,038.76x = 177,057.88 × 36,992
  4. Step 4: Simplify right side
    118,038.76x = 6,549,725,096.96
  5. Step 5: Solve for x
    x = 6,549,725,096.96/118,038.76
  6. Step 6: Final answer
    x = 55,487.92

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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.