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Finding the Fourth Proportional to 46,562.72, 69,828.96 and 20,259.68

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Solution

The fourth proportional to 46,562.72, 69,828.96 and 20,259.68 is: 30,382.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,562.72 : 69,828.96 = 20,259.68 : x
  2. Step 2: Convert to fraction form
    46,562.72/69,828.96 = 20,259.68/x
  3. Step 3: Cross multiply
    46,562.72x = 69,828.96 × 20,259.68
  4. Step 4: Simplify right side
    46,562.72x = 1,414,712,384.33
  5. Step 5: Solve for x
    x = 1,414,712,384.33/46,562.72
  6. Step 6: Final answer
    x = 30,382.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.