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Finding the Fourth Proportional to 32,123.61, 48,185.28 and 14,349.69

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Solution

The fourth proportional to 32,123.61, 48,185.28 and 14,349.69 is: 21,524.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,123.61 : 48,185.28 = 14,349.69 : x
  2. Step 2: Convert to fraction form
    32,123.61/48,185.28 = 14,349.69/x
  3. Step 3: Cross multiply
    32,123.61x = 48,185.28 × 14,349.69
  4. Step 4: Simplify right side
    32,123.61x = 691,443,830.56
  5. Step 5: Solve for x
    x = 691,443,830.56/32,123.61
  6. Step 6: Final answer
    x = 21,524.47

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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.