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Finding the Fourth Proportional to 30,439.60, 42,001.56 and 17,008

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Solution

The fourth proportional to 30,439.60, 42,001.56 and 17,008 is: 23,468.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,439.60 : 42,001.56 = 17,008 : x
  2. Step 2: Convert to fraction form
    30,439.60/42,001.56 = 17,008/x
  3. Step 3: Cross multiply
    30,439.60x = 42,001.56 × 17,008
  4. Step 4: Simplify right side
    30,439.60x = 714,362,532.48
  5. Step 5: Solve for x
    x = 714,362,532.48/30,439.60
  6. Step 6: Final answer
    x = 23,468.20

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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.