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Finding the Fourth Proportional to 82,570.39, 113,982 and 55,749.21

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Solution

The fourth proportional to 82,570.39, 113,982 and 55,749.21 is: 76,957.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,570.39 : 113,982 = 55,749.21 : x
  2. Step 2: Convert to fraction form
    82,570.39/113,982 = 55,749.21/x
  3. Step 3: Cross multiply
    82,570.39x = 113,982 × 55,749.21
  4. Step 4: Simplify right side
    82,570.39x = 6,354,406,454.22
  5. Step 5: Solve for x
    x = 6,354,406,454.22/82,570.39
  6. Step 6: Final answer
    x = 76,957.45

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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.