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Finding the Fourth Proportional to 32,123.70, 48,177.05 and 14,589.63

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Solution

The fourth proportional to 32,123.70, 48,177.05 and 14,589.63 is: 21,880.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,123.70 : 48,177.05 = 14,589.63 : x
  2. Step 2: Convert to fraction form
    32,123.70/48,177.05 = 14,589.63/x
  3. Step 3: Cross multiply
    32,123.70x = 48,177.05 × 14,589.63
  4. Step 4: Simplify right side
    32,123.70x = 702,885,261.04
  5. Step 5: Solve for x
    x = 702,885,261.04/32,123.70
  6. Step 6: Final answer
    x = 21,880.58

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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.