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Finding the Fourth Proportional to 34,832.80, 48,082.98 and 23,509

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Solution

The fourth proportional to 34,832.80, 48,082.98 and 23,509 is: 32,451.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,832.80 : 48,082.98 = 23,509 : x
  2. Step 2: Convert to fraction form
    34,832.80/48,082.98 = 23,509/x
  3. Step 3: Cross multiply
    34,832.80x = 48,082.98 × 23,509
  4. Step 4: Simplify right side
    34,832.80x = 1,130,382,776.82
  5. Step 5: Solve for x
    x = 1,130,382,776.82/34,832.80
  6. Step 6: Final answer
    x = 32,451.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.