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Finding the Fourth Proportional to 78,282.36, 108,106.35 and 54,145.14

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Solution

The fourth proportional to 78,282.36, 108,106.35 and 54,145.14 is: 74,773.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,282.36 : 108,106.35 = 54,145.14 : x
  2. Step 2: Convert to fraction form
    78,282.36/108,106.35 = 54,145.14/x
  3. Step 3: Cross multiply
    78,282.36x = 108,106.35 × 54,145.14
  4. Step 4: Simplify right side
    78,282.36x = 5,853,433,455.64
  5. Step 5: Solve for x
    x = 5,853,433,455.64/78,282.36
  6. Step 6: Final answer
    x = 74,773.34

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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.