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Finding the Fourth Proportional to 30,972.58, 42,740.04 and 16,825.12

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Solution

The fourth proportional to 30,972.58, 42,740.04 and 16,825.12 is: 23,217.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,972.58 : 42,740.04 = 16,825.12 : x
  2. Step 2: Convert to fraction form
    30,972.58/42,740.04 = 16,825.12/x
  3. Step 3: Cross multiply
    30,972.58x = 42,740.04 × 16,825.12
  4. Step 4: Simplify right side
    30,972.58x = 719,106,088.10
  5. Step 5: Solve for x
    x = 719,106,088.10/30,972.58
  6. Step 6: Final answer
    x = 23,217.51

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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.