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Finding the Fourth Proportional to 30,534.60, 42,136.50 and 17,105.64

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Solution

The fourth proportional to 30,534.60, 42,136.50 and 17,105.64 is: 23,605.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,534.60 : 42,136.50 = 17,105.64 : x
  2. Step 2: Convert to fraction form
    30,534.60/42,136.50 = 17,105.64/x
  3. Step 3: Cross multiply
    30,534.60x = 42,136.50 × 17,105.64
  4. Step 4: Simplify right side
    30,534.60x = 720,771,799.86
  5. Step 5: Solve for x
    x = 720,771,799.86/30,534.60
  6. Step 6: Final answer
    x = 23,605.08

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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.