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Finding the Fourth Proportional to 35,620.40, 49,147.32 and 23,030

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Solution

The fourth proportional to 35,620.40, 49,147.32 and 23,030 is: 31,775.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,620.40 : 49,147.32 = 23,030 : x
  2. Step 2: Convert to fraction form
    35,620.40/49,147.32 = 23,030/x
  3. Step 3: Cross multiply
    35,620.40x = 49,147.32 × 23,030
  4. Step 4: Simplify right side
    35,620.40x = 1,131,862,779.60
  5. Step 5: Solve for x
    x = 1,131,862,779.60/35,620.40
  6. Step 6: Final answer
    x = 31,775.69

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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.