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Finding the Fourth Proportional to 32,148.90, 48,230.64 and 14,614.02

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Solution

The fourth proportional to 32,148.90, 48,230.64 and 14,614.02 is: 21,924.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,148.90 : 48,230.64 = 14,614.02 : x
  2. Step 2: Convert to fraction form
    32,148.90/48,230.64 = 14,614.02/x
  3. Step 3: Cross multiply
    32,148.90x = 48,230.64 × 14,614.02
  4. Step 4: Simplify right side
    32,148.90x = 704,843,537.57
  5. Step 5: Solve for x
    x = 704,843,537.57/32,148.90
  6. Step 6: Final answer
    x = 21,924.34

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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.