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Finding the Fourth Proportional to 35,778.29, 53,682.62 and 19,134

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Solution

The fourth proportional to 35,778.29, 53,682.62 and 19,134 is: 28,709.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,778.29 : 53,682.62 = 19,134 : x
  2. Step 2: Convert to fraction form
    35,778.29/53,682.62 = 19,134/x
  3. Step 3: Cross multiply
    35,778.29x = 53,682.62 × 19,134
  4. Step 4: Simplify right side
    35,778.29x = 1,027,163,155.41
  5. Step 5: Solve for x
    x = 1,027,163,155.41/35,778.29
  6. Step 6: Final answer
    x = 28,709.12

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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.