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Finding the Fourth Proportional to 77,116.60, 115,718.10 and 32,735.80

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Solution

The fourth proportional to 77,116.60, 115,718.10 and 32,735.80 is: 49,122.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,116.60 : 115,718.10 = 32,735.80 : x
  2. Step 2: Convert to fraction form
    77,116.60/115,718.10 = 32,735.80/x
  3. Step 3: Cross multiply
    77,116.60x = 115,718.10 × 32,735.80
  4. Step 4: Simplify right side
    77,116.60x = 3,788,124,577.98
  5. Step 5: Solve for x
    x = 3,788,124,577.98/77,116.60
  6. Step 6: Final answer
    x = 49,122.04

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Why These Related Problems?

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