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Finding the Fourth Proportional to 65,194.48, 89,982.39 and 39,709.23

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Solution

The fourth proportional to 65,194.48, 89,982.39 and 39,709.23 is: 54,807.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,194.48 : 89,982.39 = 39,709.23 : x
  2. Step 2: Convert to fraction form
    65,194.48/89,982.39 = 39,709.23/x
  3. Step 3: Cross multiply
    65,194.48x = 89,982.39 × 39,709.23
  4. Step 4: Simplify right side
    65,194.48x = 3,573,131,420.46
  5. Step 5: Solve for x
    x = 3,573,131,420.46/65,194.48
  6. Step 6: Final answer
    x = 54,807.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.