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Finding the Fourth Proportional to 30,735.48, 42,411.24 and 17,304.60

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Solution

The fourth proportional to 30,735.48, 42,411.24 and 17,304.60 is: 23,878.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,735.48 : 42,411.24 = 17,304.60 : x
  2. Step 2: Convert to fraction form
    30,735.48/42,411.24 = 17,304.60/x
  3. Step 3: Cross multiply
    30,735.48x = 42,411.24 × 17,304.60
  4. Step 4: Simplify right side
    30,735.48x = 733,909,543.70
  5. Step 5: Solve for x
    x = 733,909,543.70/30,735.48
  6. Step 6: Final answer
    x = 23,878.25

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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.