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Finding the Fourth Proportional to 75,881.79, 113,828.19 and 29,134.66

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Solution

The fourth proportional to 75,881.79, 113,828.19 and 29,134.66 is: 43,704.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,881.79 : 113,828.19 = 29,134.66 : x
  2. Step 2: Convert to fraction form
    75,881.79/113,828.19 = 29,134.66/x
  3. Step 3: Cross multiply
    75,881.79x = 113,828.19 × 29,134.66
  4. Step 4: Simplify right side
    75,881.79x = 3,316,345,614.07
  5. Step 5: Solve for x
    x = 3,316,345,614.07/75,881.79
  6. Step 6: Final answer
    x = 43,704.10

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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.