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Finding the Fourth Proportional to 75,971.91, 104,841.23 and 42,437.91

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Solution

The fourth proportional to 75,971.91, 104,841.23 and 42,437.91 is: 58,564.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,971.91 : 104,841.23 = 42,437.91 : x
  2. Step 2: Convert to fraction form
    75,971.91/104,841.23 = 42,437.91/x
  3. Step 3: Cross multiply
    75,971.91x = 104,841.23 × 42,437.91
  4. Step 4: Simplify right side
    75,971.91x = 4,449,242,470.84
  5. Step 5: Solve for x
    x = 4,449,242,470.84/75,971.91
  6. Step 6: Final answer
    x = 58,564.31

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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.