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Finding the Fourth Proportional to 32,282.84, 48,422.38 and 14,508.92

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Solution

The fourth proportional to 32,282.84, 48,422.38 and 14,508.92 is: 21,762.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,282.84 : 48,422.38 = 14,508.92 : x
  2. Step 2: Convert to fraction form
    32,282.84/48,422.38 = 14,508.92/x
  3. Step 3: Cross multiply
    32,282.84x = 48,422.38 × 14,508.92
  4. Step 4: Simplify right side
    32,282.84x = 702,556,437.63
  5. Step 5: Solve for x
    x = 702,556,437.63/32,282.84
  6. Step 6: Final answer
    x = 21,762.54

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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.