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Finding the Fourth Proportional to 30,934.80, 42,690 and 17,505.81

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Solution

The fourth proportional to 30,934.80, 42,690 and 17,505.81 is: 24,158.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,934.80 : 42,690 = 17,505.81 : x
  2. Step 2: Convert to fraction form
    30,934.80/42,690 = 17,505.81/x
  3. Step 3: Cross multiply
    30,934.80x = 42,690 × 17,505.81
  4. Step 4: Simplify right side
    30,934.80x = 747,323,028.90
  5. Step 5: Solve for x
    x = 747,323,028.90/30,934.80
  6. Step 6: Final answer
    x = 24,158.00

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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.