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Finding the Fourth Proportional to 75,877.88, 104,716.32 and 42,343.88

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Solution

The fourth proportional to 75,877.88, 104,716.32 and 42,343.88 is: 58,437.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,877.88 : 104,716.32 = 42,343.88 : x
  2. Step 2: Convert to fraction form
    75,877.88/104,716.32 = 42,343.88/x
  3. Step 3: Cross multiply
    75,877.88x = 104,716.32 × 42,343.88
  4. Step 4: Simplify right side
    75,877.88x = 4,434,095,288.12
  5. Step 5: Solve for x
    x = 4,434,095,288.12/75,877.88
  6. Step 6: Final answer
    x = 58,437.26

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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.