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Finding the Fourth Proportional to 92,065.95, 138,098.94 and 28,895.82

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Solution

The fourth proportional to 92,065.95, 138,098.94 and 28,895.82 is: 43,343.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,065.95 : 138,098.94 = 28,895.82 : x
  2. Step 2: Convert to fraction form
    92,065.95/138,098.94 = 28,895.82/x
  3. Step 3: Cross multiply
    92,065.95x = 138,098.94 × 28,895.82
  4. Step 4: Simplify right side
    92,065.95x = 3,990,482,112.43
  5. Step 5: Solve for x
    x = 3,990,482,112.43/92,065.95
  6. Step 6: Final answer
    x = 43,343.73

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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.