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Finding the Fourth Proportional to 84,122.42, 116,089.08 and 45,882

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Solution

The fourth proportional to 84,122.42, 116,089.08 and 45,882 is: 63,317.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,122.42 : 116,089.08 = 45,882 : x
  2. Step 2: Convert to fraction form
    84,122.42/116,089.08 = 45,882/x
  3. Step 3: Cross multiply
    84,122.42x = 116,089.08 × 45,882
  4. Step 4: Simplify right side
    84,122.42x = 5,326,399,168.56
  5. Step 5: Solve for x
    x = 5,326,399,168.56/84,122.42
  6. Step 6: Final answer
    x = 63,317.24

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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.