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Finding the Fourth Proportional to 82,052.40, 113,232.47 and 47,603.82

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Solution

The fourth proportional to 82,052.40, 113,232.47 and 47,603.82 is: 65,693.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,052.40 : 113,232.47 = 47,603.82 : x
  2. Step 2: Convert to fraction form
    82,052.40/113,232.47 = 47,603.82/x
  3. Step 3: Cross multiply
    82,052.40x = 113,232.47 × 47,603.82
  4. Step 4: Simplify right side
    82,052.40x = 5,390,298,120.04
  5. Step 5: Solve for x
    x = 5,390,298,120.04/82,052.40
  6. Step 6: Final answer
    x = 65,693.36

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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.