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Finding the Fourth Proportional to 82,314.34, 113,593.78 and 44,588.58

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Solution

The fourth proportional to 82,314.34, 113,593.78 and 44,588.58 is: 61,532.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,314.34 : 113,593.78 = 44,588.58 : x
  2. Step 2: Convert to fraction form
    82,314.34/113,593.78 = 44,588.58/x
  3. Step 3: Cross multiply
    82,314.34x = 113,593.78 × 44,588.58
  4. Step 4: Simplify right side
    82,314.34x = 5,064,985,347.03
  5. Step 5: Solve for x
    x = 5,064,985,347.03/82,314.34
  6. Step 6: Final answer
    x = 61,532.24

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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.