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Finding the Fourth Proportional to 77,155.72, 115,742.82 and 27,225.50

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Solution

The fourth proportional to 77,155.72, 115,742.82 and 27,225.50 is: 40,841.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,155.72 : 115,742.82 = 27,225.50 : x
  2. Step 2: Convert to fraction form
    77,155.72/115,742.82 = 27,225.50/x
  3. Step 3: Cross multiply
    77,155.72x = 115,742.82 × 27,225.50
  4. Step 4: Simplify right side
    77,155.72x = 3,151,156,145.91
  5. Step 5: Solve for x
    x = 3,151,156,145.91/77,155.72
  6. Step 6: Final answer
    x = 40,841.51

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