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Finding the Fourth Proportional to 54,902, 75,765.12 and 29,751.68

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Solution

The fourth proportional to 54,902, 75,765.12 and 29,751.68 is: 41,057.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,902 : 75,765.12 = 29,751.68 : x
  2. Step 2: Convert to fraction form
    54,902/75,765.12 = 29,751.68/x
  3. Step 3: Cross multiply
    54,902x = 75,765.12 × 29,751.68
  4. Step 4: Simplify right side
    54,902x = 2,254,139,605.40
  5. Step 5: Solve for x
    x = 2,254,139,605.40/54,902
  6. Step 6: Final answer
    x = 41,057.51

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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.