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Finding the Fourth Proportional to 118,388.31, 177,584.00 and 39,502.53

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Solution

The fourth proportional to 118,388.31, 177,584.00 and 39,502.53 is: 59,254.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,388.31 : 177,584.00 = 39,502.53 : x
  2. Step 2: Convert to fraction form
    118,388.31/177,584.00 = 39,502.53/x
  3. Step 3: Cross multiply
    118,388.31x = 177,584.00 × 39,502.53
  4. Step 4: Simplify right side
    118,388.31x = 7,015,017,632.72
  5. Step 5: Solve for x
    x = 7,015,017,632.72/118,388.31
  6. Step 6: Final answer
    x = 59,254.31

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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.