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Finding the Fourth Proportional to 75,551.72, 104,265.06 and 42,017

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Solution

The fourth proportional to 75,551.72, 104,265.06 and 42,017 is: 57,985.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,551.72 : 104,265.06 = 42,017 : x
  2. Step 2: Convert to fraction form
    75,551.72/104,265.06 = 42,017/x
  3. Step 3: Cross multiply
    75,551.72x = 104,265.06 × 42,017
  4. Step 4: Simplify right side
    75,551.72x = 4,380,905,026.02
  5. Step 5: Solve for x
    x = 4,380,905,026.02/75,551.72
  6. Step 6: Final answer
    x = 57,985.51

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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.