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Finding the Fourth Proportional to 75,802.36, 113,719.98 and 29,055.28

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Solution

The fourth proportional to 75,802.36, 113,719.98 and 29,055.28 is: 43,589.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,802.36 : 113,719.98 = 29,055.28 : x
  2. Step 2: Convert to fraction form
    75,802.36/113,719.98 = 29,055.28/x
  3. Step 3: Cross multiply
    75,802.36x = 113,719.98 × 29,055.28
  4. Step 4: Simplify right side
    75,802.36x = 3,304,165,860.49
  5. Step 5: Solve for x
    x = 3,304,165,860.49/75,802.36
  6. Step 6: Final answer
    x = 43,589.22

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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.