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Finding the Fourth Proportional to 97,949.63, 146,924.42 and 64,661.90

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Solution

The fourth proportional to 97,949.63, 146,924.42 and 64,661.90 is: 96,992.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,949.63 : 146,924.42 = 64,661.90 : x
  2. Step 2: Convert to fraction form
    97,949.63/146,924.42 = 64,661.90/x
  3. Step 3: Cross multiply
    97,949.63x = 146,924.42 × 64,661.90
  4. Step 4: Simplify right side
    97,949.63x = 9,500,411,095.67
  5. Step 5: Solve for x
    x = 9,500,411,095.67/97,949.63
  6. Step 6: Final answer
    x = 96,992.83

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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.