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Finding the Fourth Proportional to 97,675.81, 146,513.71 and 64,388.09

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Solution

The fourth proportional to 97,675.81, 146,513.71 and 64,388.09 is: 96,582.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,675.81 : 146,513.71 = 64,388.09 : x
  2. Step 2: Convert to fraction form
    97,675.81/146,513.71 = 64,388.09/x
  3. Step 3: Cross multiply
    97,675.81x = 146,513.71 × 64,388.09
  4. Step 4: Simplify right side
    97,675.81x = 9,433,737,579.43
  5. Step 5: Solve for x
    x = 9,433,737,579.43/97,675.81
  6. Step 6: Final answer
    x = 96,582.13

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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.