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Finding the Fourth Proportional to 83,644.36, 115,429.32 and 45,403.88

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Solution

The fourth proportional to 83,644.36, 115,429.32 and 45,403.88 is: 62,657.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,644.36 : 115,429.32 = 45,403.88 : x
  2. Step 2: Convert to fraction form
    83,644.36/115,429.32 = 45,403.88/x
  3. Step 3: Cross multiply
    83,644.36x = 115,429.32 × 45,403.88
  4. Step 4: Simplify right side
    83,644.36x = 5,240,938,416.62
  5. Step 5: Solve for x
    x = 5,240,938,416.62/83,644.36
  6. Step 6: Final answer
    x = 62,657.41

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