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Finding the Fourth Proportional to 109,568.71, 164,228.49 and 46,349.38

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Solution

The fourth proportional to 109,568.71, 164,228.49 and 46,349.38 is: 69,471.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,568.71 : 164,228.49 = 46,349.38 : x
  2. Step 2: Convert to fraction form
    109,568.71/164,228.49 = 46,349.38/x
  3. Step 3: Cross multiply
    109,568.71x = 164,228.49 × 46,349.38
  4. Step 4: Simplify right side
    109,568.71x = 7,611,888,689.84
  5. Step 5: Solve for x
    x = 7,611,888,689.84/109,568.71
  6. Step 6: Final answer
    x = 69,471.37

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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.