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Finding the Fourth Proportional to 114,744.52, 172,112.10 and 39,881.64

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Solution

The fourth proportional to 114,744.52, 172,112.10 and 39,881.64 is: 59,820.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,744.52 : 172,112.10 = 39,881.64 : x
  2. Step 2: Convert to fraction form
    114,744.52/172,112.10 = 39,881.64/x
  3. Step 3: Cross multiply
    114,744.52x = 172,112.10 × 39,881.64
  4. Step 4: Simplify right side
    114,744.52x = 6,864,112,811.84
  5. Step 5: Solve for x
    x = 6,864,112,811.84/114,744.52
  6. Step 6: Final answer
    x = 59,820.83

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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.