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Finding the Fourth Proportional to 30,821.53, 42,534.06 and 17,392.94

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Solution

The fourth proportional to 30,821.53, 42,534.06 and 17,392.94 is: 24,002.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,821.53 : 42,534.06 = 17,392.94 : x
  2. Step 2: Convert to fraction form
    30,821.53/42,534.06 = 17,392.94/x
  3. Step 3: Cross multiply
    30,821.53x = 42,534.06 × 17,392.94
  4. Step 4: Simplify right side
    30,821.53x = 739,792,459.87
  5. Step 5: Solve for x
    x = 739,792,459.87/30,821.53
  6. Step 6: Final answer
    x = 24,002.46

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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.