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Finding the Fourth Proportional to 30,782.50, 42,479.86 and 17,534.50

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Solution

The fourth proportional to 30,782.50, 42,479.86 and 17,534.50 is: 24,197.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,782.50 : 42,479.86 = 17,534.50 : x
  2. Step 2: Convert to fraction form
    30,782.50/42,479.86 = 17,534.50/x
  3. Step 3: Cross multiply
    30,782.50x = 42,479.86 × 17,534.50
  4. Step 4: Simplify right side
    30,782.50x = 744,863,105.17
  5. Step 5: Solve for x
    x = 744,863,105.17/30,782.50
  6. Step 6: Final answer
    x = 24,197.62

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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.