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Finding the Fourth Proportional to 82,369.64, 113,670.06 and 44,643.88

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Solution

The fourth proportional to 82,369.64, 113,670.06 and 44,643.88 is: 61,608.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,369.64 : 113,670.06 = 44,643.88 : x
  2. Step 2: Convert to fraction form
    82,369.64/113,670.06 = 44,643.88/x
  3. Step 3: Cross multiply
    82,369.64x = 113,670.06 × 44,643.88
  4. Step 4: Simplify right side
    82,369.64x = 5,074,672,518.23
  5. Step 5: Solve for x
    x = 5,074,672,518.23/82,369.64
  6. Step 6: Final answer
    x = 61,608.53

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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.