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Finding the Fourth Proportional to 75,462, 113,244.84 and 26,214

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Solution

The fourth proportional to 75,462, 113,244.84 and 26,214 is: 39,339.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,462 : 113,244.84 = 26,214 : x
  2. Step 2: Convert to fraction form
    75,462/113,244.84 = 26,214/x
  3. Step 3: Cross multiply
    75,462x = 113,244.84 × 26,214
  4. Step 4: Simplify right side
    75,462x = 2,968,600,235.76
  5. Step 5: Solve for x
    x = 2,968,600,235.76/75,462
  6. Step 6: Final answer
    x = 39,339.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.