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Finding the Fourth Proportional to 105,411.38, 145,471.32 and 57,664.76

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Solution

The fourth proportional to 105,411.38, 145,471.32 and 57,664.76 is: 79,579.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,411.38 : 145,471.32 = 57,664.76 : x
  2. Step 2: Convert to fraction form
    105,411.38/145,471.32 = 57,664.76/x
  3. Step 3: Cross multiply
    105,411.38x = 145,471.32 × 57,664.76
  4. Step 4: Simplify right side
    105,411.38x = 8,388,568,754.68
  5. Step 5: Solve for x
    x = 8,388,568,754.68/105,411.38
  6. Step 6: Final answer
    x = 79,579.35

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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.