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Finding the Fourth Proportional to 76,019.72, 104,904.11 and 42,026.04

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Solution

The fourth proportional to 76,019.72, 104,904.11 and 42,026.04 is: 57,994.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,019.72 : 104,904.11 = 42,026.04 : x
  2. Step 2: Convert to fraction form
    76,019.72/104,904.11 = 42,026.04/x
  3. Step 3: Cross multiply
    76,019.72x = 104,904.11 × 42,026.04
  4. Step 4: Simplify right side
    76,019.72x = 4,408,704,428.09
  5. Step 5: Solve for x
    x = 4,408,704,428.09/76,019.72
  6. Step 6: Final answer
    x = 57,994.22

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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.