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Finding the Fourth Proportional to 32,266.10, 48,349.85 and 13,535.98

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Solution

The fourth proportional to 32,266.10, 48,349.85 and 13,535.98 is: 20,283.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,266.10 : 48,349.85 = 13,535.98 : x
  2. Step 2: Convert to fraction form
    32,266.10/48,349.85 = 13,535.98/x
  3. Step 3: Cross multiply
    32,266.10x = 48,349.85 × 13,535.98
  4. Step 4: Simplify right side
    32,266.10x = 654,462,414.05
  5. Step 5: Solve for x
    x = 654,462,414.05/32,266.10
  6. Step 6: Final answer
    x = 20,283.28

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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.