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Finding the Fourth Proportional to 32,509, 44,847.30 and 23,082.76

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Solution

The fourth proportional to 32,509, 44,847.30 and 23,082.76 is: 31,843.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,509 : 44,847.30 = 23,082.76 : x
  2. Step 2: Convert to fraction form
    32,509/44,847.30 = 23,082.76/x
  3. Step 3: Cross multiply
    32,509x = 44,847.30 × 23,082.76
  4. Step 4: Simplify right side
    32,509x = 1,035,199,462.55
  5. Step 5: Solve for x
    x = 1,035,199,462.55/32,509
  6. Step 6: Final answer
    x = 31,843.47

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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.