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Finding the Fourth Proportional to 82,368.65, 113,673.42 and 46,561.79

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Solution

The fourth proportional to 82,368.65, 113,673.42 and 46,561.79 is: 64,257.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,368.65 : 113,673.42 = 46,561.79 : x
  2. Step 2: Convert to fraction form
    82,368.65/113,673.42 = 46,561.79/x
  3. Step 3: Cross multiply
    82,368.65x = 113,673.42 × 46,561.79
  4. Step 4: Simplify right side
    82,368.65x = 5,292,837,342.25
  5. Step 5: Solve for x
    x = 5,292,837,342.25/82,368.65
  6. Step 6: Final answer
    x = 64,257.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.