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Finding the Fourth Proportional to 78,242.64, 107,974.44 and 42,433.52

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Solution

The fourth proportional to 78,242.64, 107,974.44 and 42,433.52 is: 58,558.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,242.64 : 107,974.44 = 42,433.52 : x
  2. Step 2: Convert to fraction form
    78,242.64/107,974.44 = 42,433.52/x
  3. Step 3: Cross multiply
    78,242.64x = 107,974.44 × 42,433.52
  4. Step 4: Simplify right side
    78,242.64x = 4,581,735,559.23
  5. Step 5: Solve for x
    x = 4,581,735,559.23/78,242.64
  6. Step 6: Final answer
    x = 58,558.04

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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.