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Finding the Fourth Proportional to 83,954.64, 115,857.22 and 45,713.60

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Solution

The fourth proportional to 83,954.64, 115,857.22 and 45,713.60 is: 63,084.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,954.64 : 115,857.22 = 45,713.60 : x
  2. Step 2: Convert to fraction form
    83,954.64/115,857.22 = 45,713.60/x
  3. Step 3: Cross multiply
    83,954.64x = 115,857.22 × 45,713.60
  4. Step 4: Simplify right side
    83,954.64x = 5,296,249,804.34
  5. Step 5: Solve for x
    x = 5,296,249,804.34/83,954.64
  6. Step 6: Final answer
    x = 63,084.66

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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.