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Finding the Fourth Proportional to 75,584, 104,305.94 and 42,050

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Solution

The fourth proportional to 75,584, 104,305.94 and 42,050 is: 58,029.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,584 : 104,305.94 = 42,050 : x
  2. Step 2: Convert to fraction form
    75,584/104,305.94 = 42,050/x
  3. Step 3: Cross multiply
    75,584x = 104,305.94 × 42,050
  4. Step 4: Simplify right side
    75,584x = 4,386,064,777
  5. Step 5: Solve for x
    x = 4,386,064,777/75,584
  6. Step 6: Final answer
    x = 58,029.01

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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.