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Finding the Fourth Proportional to 114,654.64, 172,048.92 and 48,089.68

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Solution

The fourth proportional to 114,654.64, 172,048.92 and 48,089.68 is: 72,162.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,654.64 : 172,048.92 = 48,089.68 : x
  2. Step 2: Convert to fraction form
    114,654.64/172,048.92 = 48,089.68/x
  3. Step 3: Cross multiply
    114,654.64x = 172,048.92 × 48,089.68
  4. Step 4: Simplify right side
    114,654.64x = 8,273,777,507.15
  5. Step 5: Solve for x
    x = 8,273,777,507.15/114,654.64
  6. Step 6: Final answer
    x = 72,162.61

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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.