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Finding the Fourth Proportional to 82,810.42, 114,278.38 and 45,084.66

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Solution

The fourth proportional to 82,810.42, 114,278.38 and 45,084.66 is: 62,216.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,810.42 : 114,278.38 = 45,084.66 : x
  2. Step 2: Convert to fraction form
    82,810.42/114,278.38 = 45,084.66/x
  3. Step 3: Cross multiply
    82,810.42x = 114,278.38 × 45,084.66
  4. Step 4: Simplify right side
    82,810.42x = 5,152,201,907.65
  5. Step 5: Solve for x
    x = 5,152,201,907.65/82,810.42
  6. Step 6: Final answer
    x = 62,216.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.