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Finding the Fourth Proportional to 49,509.94, 74,284.36 and 21,788.50

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Solution

The fourth proportional to 49,509.94, 74,284.36 and 21,788.50 is: 32,691.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,509.94 : 74,284.36 = 21,788.50 : x
  2. Step 2: Convert to fraction form
    49,509.94/74,284.36 = 21,788.50/x
  3. Step 3: Cross multiply
    49,509.94x = 74,284.36 × 21,788.50
  4. Step 4: Simplify right side
    49,509.94x = 1,618,544,777.86
  5. Step 5: Solve for x
    x = 1,618,544,777.86/49,509.94
  6. Step 6: Final answer
    x = 32,691.31

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