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Finding the Fourth Proportional to 30,732.59, 42,410.34 and 17,303.54

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Solution

The fourth proportional to 30,732.59, 42,410.34 and 17,303.54 is: 23,878.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,732.59 : 42,410.34 = 17,303.54 : x
  2. Step 2: Convert to fraction form
    30,732.59/42,410.34 = 17,303.54/x
  3. Step 3: Cross multiply
    30,732.59x = 42,410.34 × 17,303.54
  4. Step 4: Simplify right side
    30,732.59x = 733,848,802.55
  5. Step 5: Solve for x
    x = 733,848,802.55/30,732.59
  6. Step 6: Final answer
    x = 23,878.53

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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.