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Finding the Fourth Proportional to 75,982, 104,855.16 and 46,174

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Solution

The fourth proportional to 75,982, 104,855.16 and 46,174 is: 63,720.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,982 : 104,855.16 = 46,174 : x
  2. Step 2: Convert to fraction form
    75,982/104,855.16 = 46,174/x
  3. Step 3: Cross multiply
    75,982x = 104,855.16 × 46,174
  4. Step 4: Simplify right side
    75,982x = 4,841,582,157.84
  5. Step 5: Solve for x
    x = 4,841,582,157.84/75,982
  6. Step 6: Final answer
    x = 63,720.12

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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.