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Finding the Fourth Proportional to 82,374.74, 113,675.90 and 46,563.50

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Solution

The fourth proportional to 82,374.74, 113,675.90 and 46,563.50 is: 64,256.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,374.74 : 113,675.90 = 46,563.50 : x
  2. Step 2: Convert to fraction form
    82,374.74/113,675.90 = 46,563.50/x
  3. Step 3: Cross multiply
    82,374.74x = 113,675.90 × 46,563.50
  4. Step 4: Simplify right side
    82,374.74x = 5,293,147,769.65
  5. Step 5: Solve for x
    x = 5,293,147,769.65/82,374.74
  6. Step 6: Final answer
    x = 64,256.93

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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.