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Finding the Fourth Proportional to 30,779.34, 42,475.64 and 17,351.16

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Solution

The fourth proportional to 30,779.34, 42,475.64 and 17,351.16 is: 23,944.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,779.34 : 42,475.64 = 17,351.16 : x
  2. Step 2: Convert to fraction form
    30,779.34/42,475.64 = 17,351.16/x
  3. Step 3: Cross multiply
    30,779.34x = 42,475.64 × 17,351.16
  4. Step 4: Simplify right side
    30,779.34x = 737,001,538.99
  5. Step 5: Solve for x
    x = 737,001,538.99/30,779.34
  6. Step 6: Final answer
    x = 23,944.68

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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.