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Finding the Fourth Proportional to 54,778.50, 75,594.34 and 29,628

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Solution

The fourth proportional to 54,778.50, 75,594.34 and 29,628 is: 40,886.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,778.50 : 75,594.34 = 29,628 : x
  2. Step 2: Convert to fraction form
    54,778.50/75,594.34 = 29,628/x
  3. Step 3: Cross multiply
    54,778.50x = 75,594.34 × 29,628
  4. Step 4: Simplify right side
    54,778.50x = 2,239,709,031.45
  5. Step 5: Solve for x
    x = 2,239,709,031.45/54,778.50
  6. Step 6: Final answer
    x = 40,886.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.