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Finding the Fourth Proportional to 78,402.36, 108,195.39 and 42,592.40

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Solution

The fourth proportional to 78,402.36, 108,195.39 and 42,592.40 is: 58,777.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,402.36 : 108,195.39 = 42,592.40 : x
  2. Step 2: Convert to fraction form
    78,402.36/108,195.39 = 42,592.40/x
  3. Step 3: Cross multiply
    78,402.36x = 108,195.39 × 42,592.40
  4. Step 4: Simplify right side
    78,402.36x = 4,608,301,193.79
  5. Step 5: Solve for x
    x = 4,608,301,193.79/78,402.36
  6. Step 6: Final answer
    x = 58,777.58

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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.