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Finding the Fourth Proportional to 84,016.47, 115,941.68 and 45,777.66

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Solution

The fourth proportional to 84,016.47, 115,941.68 and 45,777.66 is: 63,172.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,016.47 : 115,941.68 = 45,777.66 : x
  2. Step 2: Convert to fraction form
    84,016.47/115,941.68 = 45,777.66/x
  3. Step 3: Cross multiply
    84,016.47x = 115,941.68 × 45,777.66
  4. Step 4: Simplify right side
    84,016.47x = 5,307,538,314.87
  5. Step 5: Solve for x
    x = 5,307,538,314.87/84,016.47
  6. Step 6: Final answer
    x = 63,172.59

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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.