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Finding the Fourth Proportional to 54,952.96, 75,834.56 and 29,802.56

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Solution

The fourth proportional to 54,952.96, 75,834.56 and 29,802.56 is: 41,127.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,952.96 : 75,834.56 = 29,802.56 : x
  2. Step 2: Convert to fraction form
    54,952.96/75,834.56 = 29,802.56/x
  3. Step 3: Cross multiply
    54,952.96x = 75,834.56 × 29,802.56
  4. Step 4: Simplify right side
    54,952.96x = 2,260,064,024.47
  5. Step 5: Solve for x
    x = 2,260,064,024.47/54,952.96
  6. Step 6: Final answer
    x = 41,127.25

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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.