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Finding the Fourth Proportional to 32,724.95, 49,067.73 and 14,709.87

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Solution

The fourth proportional to 32,724.95, 49,067.73 and 14,709.87 is: 22,055.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,724.95 : 49,067.73 = 14,709.87 : x
  2. Step 2: Convert to fraction form
    32,724.95/49,067.73 = 14,709.87/x
  3. Step 3: Cross multiply
    32,724.95x = 49,067.73 × 14,709.87
  4. Step 4: Simplify right side
    32,724.95x = 721,779,929.50
  5. Step 5: Solve for x
    x = 721,779,929.50/32,724.95
  6. Step 6: Final answer
    x = 22,055.96

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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.