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Finding the Fourth Proportional to 30,661.50, 42,312.50 and 17,235.04

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Solution

The fourth proportional to 30,661.50, 42,312.50 and 17,235.04 is: 23,784.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,661.50 : 42,312.50 = 17,235.04 : x
  2. Step 2: Convert to fraction form
    30,661.50/42,312.50 = 17,235.04/x
  3. Step 3: Cross multiply
    30,661.50x = 42,312.50 × 17,235.04
  4. Step 4: Simplify right side
    30,661.50x = 729,257,630
  5. Step 5: Solve for x
    x = 729,257,630/30,661.50
  6. Step 6: Final answer
    x = 23,784.15

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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.