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Finding the Fourth Proportional to 83,674.47, 115,442.26 and 53,477.21

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Solution

The fourth proportional to 83,674.47, 115,442.26 and 53,477.21 is: 73,780.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,674.47 : 115,442.26 = 53,477.21 : x
  2. Step 2: Convert to fraction form
    83,674.47/115,442.26 = 53,477.21/x
  3. Step 3: Cross multiply
    83,674.47x = 115,442.26 × 53,477.21
  4. Step 4: Simplify right side
    83,674.47x = 6,173,530,135.81
  5. Step 5: Solve for x
    x = 6,173,530,135.81/83,674.47
  6. Step 6: Final answer
    x = 73,780.33

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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.