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Finding the Fourth Proportional to 82,240.31, 113,491.63 and 44,514.56

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Solution

The fourth proportional to 82,240.31, 113,491.63 and 44,514.56 is: 61,430.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,240.31 : 113,491.63 = 44,514.56 : x
  2. Step 2: Convert to fraction form
    82,240.31/113,491.63 = 44,514.56/x
  3. Step 3: Cross multiply
    82,240.31x = 113,491.63 × 44,514.56
  4. Step 4: Simplify right side
    82,240.31x = 5,052,030,312.51
  5. Step 5: Solve for x
    x = 5,052,030,312.51/82,240.31
  6. Step 6: Final answer
    x = 61,430.10

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