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Finding the Fourth Proportional to 32,198.94, 48,298.59 and 14,656.50

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Solution

The fourth proportional to 32,198.94, 48,298.59 and 14,656.50 is: 21,984.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,198.94 : 48,298.59 = 14,656.50 : x
  2. Step 2: Convert to fraction form
    32,198.94/48,298.59 = 14,656.50/x
  3. Step 3: Cross multiply
    32,198.94x = 48,298.59 × 14,656.50
  4. Step 4: Simplify right side
    32,198.94x = 707,888,284.34
  5. Step 5: Solve for x
    x = 707,888,284.34/32,198.94
  6. Step 6: Final answer
    x = 21,984.83

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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.