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Finding the Fourth Proportional to 30,834.76, 42,551.95 and 17,406.13

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Solution

The fourth proportional to 30,834.76, 42,551.95 and 17,406.13 is: 24,020.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,834.76 : 42,551.95 = 17,406.13 : x
  2. Step 2: Convert to fraction form
    30,834.76/42,551.95 = 17,406.13/x
  3. Step 3: Cross multiply
    30,834.76x = 42,551.95 × 17,406.13
  4. Step 4: Simplify right side
    30,834.76x = 740,664,773.45
  5. Step 5: Solve for x
    x = 740,664,773.45/30,834.76
  6. Step 6: Final answer
    x = 24,020.45

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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.