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Finding the Fourth Proportional to 30,446.72, 42,011.10 and 17,013.68

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Solution

The fourth proportional to 30,446.72, 42,011.10 and 17,013.68 is: 23,475.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,446.72 : 42,011.10 = 17,013.68 : x
  2. Step 2: Convert to fraction form
    30,446.72/42,011.10 = 17,013.68/x
  3. Step 3: Cross multiply
    30,446.72x = 42,011.10 × 17,013.68
  4. Step 4: Simplify right side
    30,446.72x = 714,763,411.85
  5. Step 5: Solve for x
    x = 714,763,411.85/30,446.72
  6. Step 6: Final answer
    x = 23,475.88

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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.