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Finding the Fourth Proportional to 30,709.90, 42,379.16 and 17,281.15

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Solution

The fourth proportional to 30,709.90, 42,379.16 and 17,281.15 is: 23,847.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,709.90 : 42,379.16 = 17,281.15 : x
  2. Step 2: Convert to fraction form
    30,709.90/42,379.16 = 17,281.15/x
  3. Step 3: Cross multiply
    30,709.90x = 42,379.16 × 17,281.15
  4. Step 4: Simplify right side
    30,709.90x = 732,360,322.53
  5. Step 5: Solve for x
    x = 732,360,322.53/30,709.90
  6. Step 6: Final answer
    x = 23,847.70

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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.