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Finding the Fourth Proportional to 32,082.32, 48,123.52 and 12,370.16

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Solution

The fourth proportional to 32,082.32, 48,123.52 and 12,370.16 is: 18,555.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,082.32 : 48,123.52 = 12,370.16 : x
  2. Step 2: Convert to fraction form
    32,082.32/48,123.52 = 12,370.16/x
  3. Step 3: Cross multiply
    32,082.32x = 48,123.52 × 12,370.16
  4. Step 4: Simplify right side
    32,082.32x = 595,295,642.16
  5. Step 5: Solve for x
    x = 595,295,642.16/32,082.32
  6. Step 6: Final answer
    x = 18,555.26

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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.