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Finding the Fourth Proportional to 82,167.65, 113,394.75 and 46,357.50

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Solution

The fourth proportional to 82,167.65, 113,394.75 and 46,357.50 is: 63,975.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,167.65 : 113,394.75 = 46,357.50 : x
  2. Step 2: Convert to fraction form
    82,167.65/113,394.75 = 46,357.50/x
  3. Step 3: Cross multiply
    82,167.65x = 113,394.75 × 46,357.50
  4. Step 4: Simplify right side
    82,167.65x = 5,256,697,123.13
  5. Step 5: Solve for x
    x = 5,256,697,123.13/82,167.65
  6. Step 6: Final answer
    x = 63,975.26

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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.