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Finding the Fourth Proportional to 114,658.76, 172,054.56 and 48,092.96

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Solution

The fourth proportional to 114,658.76, 172,054.56 and 48,092.96 is: 72,167.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,658.76 : 172,054.56 = 48,092.96 : x
  2. Step 2: Convert to fraction form
    114,658.76/172,054.56 = 48,092.96/x
  3. Step 3: Cross multiply
    114,658.76x = 172,054.56 × 48,092.96
  4. Step 4: Simplify right side
    114,658.76x = 8,274,613,071.90
  5. Step 5: Solve for x
    x = 8,274,613,071.90/114,658.76
  6. Step 6: Final answer
    x = 72,167.30

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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.