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Finding the Fourth Proportional to 78,600.78, 108,452.26 and 46,763.46

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Solution

The fourth proportional to 78,600.78, 108,452.26 and 46,763.46 is: 64,523.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,600.78 : 108,452.26 = 46,763.46 : x
  2. Step 2: Convert to fraction form
    78,600.78/108,452.26 = 46,763.46/x
  3. Step 3: Cross multiply
    78,600.78x = 108,452.26 × 46,763.46
  4. Step 4: Simplify right side
    78,600.78x = 5,071,602,922.42
  5. Step 5: Solve for x
    x = 5,071,602,922.42/78,600.78
  6. Step 6: Final answer
    x = 64,523.57

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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.