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Finding the Fourth Proportional to 35,788.83, 53,698.41 and 19,144.50

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Solution

The fourth proportional to 35,788.83, 53,698.41 and 19,144.50 is: 28,724.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,788.83 : 53,698.41 = 19,144.50 : x
  2. Step 2: Convert to fraction form
    35,788.83/53,698.41 = 19,144.50/x
  3. Step 3: Cross multiply
    35,788.83x = 53,698.41 × 19,144.50
  4. Step 4: Simplify right side
    35,788.83x = 1,028,029,210.25
  5. Step 5: Solve for x
    x = 1,028,029,210.25/35,788.83
  6. Step 6: Final answer
    x = 28,724.86

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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.