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Finding the Fourth Proportional to 78,293.34, 117,440.01 and 55,023.66

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Solution

The fourth proportional to 78,293.34, 117,440.01 and 55,023.66 is: 82,535.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,293.34 : 117,440.01 = 55,023.66 : x
  2. Step 2: Convert to fraction form
    78,293.34/117,440.01 = 55,023.66/x
  3. Step 3: Cross multiply
    78,293.34x = 117,440.01 × 55,023.66
  4. Step 4: Simplify right side
    78,293.34x = 6,461,979,180.64
  5. Step 5: Solve for x
    x = 6,461,979,180.64/78,293.34
  6. Step 6: Final answer
    x = 82,535.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.