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Finding the Fourth Proportional to 75,837.94, 104,656.37 and 42,303.94

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Solution

The fourth proportional to 75,837.94, 104,656.37 and 42,303.94 is: 58,379.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,837.94 : 104,656.37 = 42,303.94 : x
  2. Step 2: Convert to fraction form
    75,837.94/104,656.37 = 42,303.94/x
  3. Step 3: Cross multiply
    75,837.94x = 104,656.37 × 42,303.94
  4. Step 4: Simplify right side
    75,837.94x = 4,427,376,323.94
  5. Step 5: Solve for x
    x = 4,427,376,323.94/75,837.94
  6. Step 6: Final answer
    x = 58,379.44

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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.