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Finding the Fourth Proportional to 32,082.08, 48,123.12 and 15,652

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Solution

The fourth proportional to 32,082.08, 48,123.12 and 15,652 is: 23,478

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,082.08 : 48,123.12 = 15,652 : x
  2. Step 2: Convert to fraction form
    32,082.08/48,123.12 = 15,652/x
  3. Step 3: Cross multiply
    32,082.08x = 48,123.12 × 15,652
  4. Step 4: Simplify right side
    32,082.08x = 753,223,074.24
  5. Step 5: Solve for x
    x = 753,223,074.24/32,082.08
  6. Step 6: Final answer
    x = 23,478

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.