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Finding the Fourth Proportional to 82,427.69, 113,748.87 and 46,616.36

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Solution

The fourth proportional to 82,427.69, 113,748.87 and 46,616.36 is: 64,329.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,427.69 : 113,748.87 = 46,616.36 : x
  2. Step 2: Convert to fraction form
    82,427.69/113,748.87 = 46,616.36/x
  3. Step 3: Cross multiply
    82,427.69x = 113,748.87 × 46,616.36
  4. Step 4: Simplify right side
    82,427.69x = 5,302,558,273.51
  5. Step 5: Solve for x
    x = 5,302,558,273.51/82,427.69
  6. Step 6: Final answer
    x = 64,329.82

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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.