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Finding the Fourth Proportional to 32,114.46, 48,167.44 and 14,580.26

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Solution

The fourth proportional to 32,114.46, 48,167.44 and 14,580.26 is: 21,868.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,114.46 : 48,167.44 = 14,580.26 : x
  2. Step 2: Convert to fraction form
    32,114.46/48,167.44 = 14,580.26/x
  3. Step 3: Cross multiply
    32,114.46x = 48,167.44 × 14,580.26
  4. Step 4: Simplify right side
    32,114.46x = 702,293,798.73
  5. Step 5: Solve for x
    x = 702,293,798.73/32,114.46
  6. Step 6: Final answer
    x = 21,868.46

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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.