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Finding the Fourth Proportional to 71,588.84, 98,785.38 and 41,798.12

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Solution

The fourth proportional to 71,588.84, 98,785.38 and 41,798.12 is: 57,677.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,588.84 : 98,785.38 = 41,798.12 : x
  2. Step 2: Convert to fraction form
    71,588.84/98,785.38 = 41,798.12/x
  3. Step 3: Cross multiply
    71,588.84x = 98,785.38 × 41,798.12
  4. Step 4: Simplify right side
    71,588.84x = 4,129,043,167.49
  5. Step 5: Solve for x
    x = 4,129,043,167.49/71,588.84
  6. Step 6: Final answer
    x = 57,677.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.