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Finding the Fourth Proportional to 56,975.84, 85,482.22 and 27,389.83

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Solution

The fourth proportional to 56,975.84, 85,482.22 and 27,389.83 is: 41,093.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,975.84 : 85,482.22 = 27,389.83 : x
  2. Step 2: Convert to fraction form
    56,975.84/85,482.22 = 27,389.83/x
  3. Step 3: Cross multiply
    56,975.84x = 85,482.22 × 27,389.83
  4. Step 4: Simplify right side
    56,975.84x = 2,341,343,473.82
  5. Step 5: Solve for x
    x = 2,341,343,473.82/56,975.84
  6. Step 6: Final answer
    x = 41,093.62

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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.