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Finding the Fourth Proportional to 30,442.84, 42,009.44 and 17,011.42

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Solution

The fourth proportional to 30,442.84, 42,009.44 and 17,011.42 is: 23,474.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,442.84 : 42,009.44 = 17,011.42 : x
  2. Step 2: Convert to fraction form
    30,442.84/42,009.44 = 17,011.42/x
  3. Step 3: Cross multiply
    30,442.84x = 42,009.44 × 17,011.42
  4. Step 4: Simplify right side
    30,442.84x = 714,640,037.72
  5. Step 5: Solve for x
    x = 714,640,037.72/30,442.84
  6. Step 6: Final answer
    x = 23,474.82

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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.