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Finding the Fourth Proportional to 52,502.84, 78,755.70 and 16,965.68

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Solution

The fourth proportional to 52,502.84, 78,755.70 and 16,965.68 is: 25,448.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,502.84 : 78,755.70 = 16,965.68 : x
  2. Step 2: Convert to fraction form
    52,502.84/78,755.70 = 16,965.68/x
  3. Step 3: Cross multiply
    52,502.84x = 78,755.70 × 16,965.68
  4. Step 4: Simplify right side
    52,502.84x = 1,336,144,004.38
  5. Step 5: Solve for x
    x = 1,336,144,004.38/52,502.84
  6. Step 6: Final answer
    x = 25,448.99

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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.