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Finding the Fourth Proportional to 97,706.58, 146,460.24 and 38,509.38

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Solution

The fourth proportional to 97,706.58, 146,460.24 and 38,509.38 is: 57,724.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,706.58 : 146,460.24 = 38,509.38 : x
  2. Step 2: Convert to fraction form
    97,706.58/146,460.24 = 38,509.38/x
  3. Step 3: Cross multiply
    97,706.58x = 146,460.24 × 38,509.38
  4. Step 4: Simplify right side
    97,706.58x = 5,640,093,037.05
  5. Step 5: Solve for x
    x = 5,640,093,037.05/97,706.58
  6. Step 6: Final answer
    x = 57,724.80

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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.