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Finding the Fourth Proportional to 97,339, 146,064.70 and 41,175.40

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Solution

The fourth proportional to 97,339, 146,064.70 and 41,175.40 is: 61,786.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,339 : 146,064.70 = 41,175.40 : x
  2. Step 2: Convert to fraction form
    97,339/146,064.70 = 41,175.40/x
  3. Step 3: Cross multiply
    97,339x = 146,064.70 × 41,175.40
  4. Step 4: Simplify right side
    97,339x = 6,014,272,448.38
  5. Step 5: Solve for x
    x = 6,014,272,448.38/97,339
  6. Step 6: Final answer
    x = 61,786.87

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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.