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Finding the Fourth Proportional to 77,028.22, 115,492.86 and 32,080.74

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Solution

The fourth proportional to 77,028.22, 115,492.86 and 32,080.74 is: 48,100.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,028.22 : 115,492.86 = 32,080.74 : x
  2. Step 2: Convert to fraction form
    77,028.22/115,492.86 = 32,080.74/x
  3. Step 3: Cross multiply
    77,028.22x = 115,492.86 × 32,080.74
  4. Step 4: Simplify right side
    77,028.22x = 3,705,095,675.65
  5. Step 5: Solve for x
    x = 3,705,095,675.65/77,028.22
  6. Step 6: Final answer
    x = 48,100.50

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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.