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Finding the Fourth Proportional to 82,142.69, 113,352.20 and 46,330.57

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Solution

The fourth proportional to 82,142.69, 113,352.20 and 46,330.57 is: 63,933.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,142.69 : 113,352.20 = 46,330.57 : x
  2. Step 2: Convert to fraction form
    82,142.69/113,352.20 = 46,330.57/x
  3. Step 3: Cross multiply
    82,142.69x = 113,352.20 × 46,330.57
  4. Step 4: Simplify right side
    82,142.69x = 5,251,671,238.34
  5. Step 5: Solve for x
    x = 5,251,671,238.34/82,142.69
  6. Step 6: Final answer
    x = 63,933.52

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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.