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Finding the Fourth Proportional to 114,963.84, 172,342.08 and 41,074.56

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Solution

The fourth proportional to 114,963.84, 172,342.08 and 41,074.56 is: 61,574.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,963.84 : 172,342.08 = 41,074.56 : x
  2. Step 2: Convert to fraction form
    114,963.84/172,342.08 = 41,074.56/x
  3. Step 3: Cross multiply
    114,963.84x = 172,342.08 × 41,074.56
  4. Step 4: Simplify right side
    114,963.84x = 7,078,875,105.48
  5. Step 5: Solve for x
    x = 7,078,875,105.48/114,963.84
  6. Step 6: Final answer
    x = 61,574.80

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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.