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Finding the Fourth Proportional to 35,082.32, 48,417.74 and 19,978.60

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Solution

The fourth proportional to 35,082.32, 48,417.74 and 19,978.60 is: 27,572.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,082.32 : 48,417.74 = 19,978.60 : x
  2. Step 2: Convert to fraction form
    35,082.32/48,417.74 = 19,978.60/x
  3. Step 3: Cross multiply
    35,082.32x = 48,417.74 × 19,978.60
  4. Step 4: Simplify right side
    35,082.32x = 967,318,660.36
  5. Step 5: Solve for x
    x = 967,318,660.36/35,082.32
  6. Step 6: Final answer
    x = 27,572.82

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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.