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Finding the Fourth Proportional to 81,135.86, 111,967.48 and 45,325.88

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Solution

The fourth proportional to 81,135.86, 111,967.48 and 45,325.88 is: 62,549.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,135.86 : 111,967.48 = 45,325.88 : x
  2. Step 2: Convert to fraction form
    81,135.86/111,967.48 = 45,325.88/x
  3. Step 3: Cross multiply
    81,135.86x = 111,967.48 × 45,325.88
  4. Step 4: Simplify right side
    81,135.86x = 5,075,024,562.38
  5. Step 5: Solve for x
    x = 5,075,024,562.38/81,135.86
  6. Step 6: Final answer
    x = 62,549.71

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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.