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Finding the Fourth Proportional to 84,952.68, 117,220.90 and 47,225.96

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Solution

The fourth proportional to 84,952.68, 117,220.90 and 47,225.96 is: 65,164.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,952.68 : 117,220.90 = 47,225.96 : x
  2. Step 2: Convert to fraction form
    84,952.68/117,220.90 = 47,225.96/x
  3. Step 3: Cross multiply
    84,952.68x = 117,220.90 × 47,225.96
  4. Step 4: Simplify right side
    84,952.68x = 5,535,869,534.56
  5. Step 5: Solve for x
    x = 5,535,869,534.56/84,952.68
  6. Step 6: Final answer
    x = 65,164.15

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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.