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Finding the Fourth Proportional to 105,725.68, 145,901.64 and 57,979.38

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Solution

The fourth proportional to 105,725.68, 145,901.64 and 57,979.38 is: 80,011.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,725.68 : 145,901.64 = 57,979.38 : x
  2. Step 2: Convert to fraction form
    105,725.68/145,901.64 = 57,979.38/x
  3. Step 3: Cross multiply
    105,725.68x = 145,901.64 × 57,979.38
  4. Step 4: Simplify right side
    105,725.68x = 8,459,286,628.18
  5. Step 5: Solve for x
    x = 8,459,286,628.18/105,725.68
  6. Step 6: Final answer
    x = 80,011.65

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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.