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Finding the Fourth Proportional to 30,732.40, 42,407.42 and 17,303.41

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Solution

The fourth proportional to 30,732.40, 42,407.42 and 17,303.41 is: 23,876.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,732.40 : 42,407.42 = 17,303.41 : x
  2. Step 2: Convert to fraction form
    30,732.40/42,407.42 = 17,303.41/x
  3. Step 3: Cross multiply
    30,732.40x = 42,407.42 × 17,303.41
  4. Step 4: Simplify right side
    30,732.40x = 733,792,941.79
  5. Step 5: Solve for x
    x = 733,792,941.79/30,732.40
  6. Step 6: Final answer
    x = 23,876.85

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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.