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Finding the Fourth Proportional to 71,675.86, 98,956.92 and 46,191.22

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Solution

The fourth proportional to 71,675.86, 98,956.92 and 46,191.22 is: 63,772.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,675.86 : 98,956.92 = 46,191.22 : x
  2. Step 2: Convert to fraction form
    71,675.86/98,956.92 = 46,191.22/x
  3. Step 3: Cross multiply
    71,675.86x = 98,956.92 × 46,191.22
  4. Step 4: Simplify right side
    71,675.86x = 4,570,940,862.24
  5. Step 5: Solve for x
    x = 4,570,940,862.24/71,675.86
  6. Step 6: Final answer
    x = 63,772.39

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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.