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Finding the Fourth Proportional to 75,638, 104,380.44 and 42,106.16

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Solution

The fourth proportional to 75,638, 104,380.44 and 42,106.16 is: 58,106.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,638 : 104,380.44 = 42,106.16 : x
  2. Step 2: Convert to fraction form
    75,638/104,380.44 = 42,106.16/x
  3. Step 3: Cross multiply
    75,638x = 104,380.44 × 42,106.16
  4. Step 4: Simplify right side
    75,638x = 4,395,059,507.51
  5. Step 5: Solve for x
    x = 4,395,059,507.51/75,638
  6. Step 6: Final answer
    x = 58,106.50

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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.